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Finding the Fourth Proportional to 1,461.88, 2,017.14 and 840.76

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Solution

The fourth proportional to 1,461.88, 2,017.14 and 840.76 is: 1,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.88 : 2,017.14 = 840.76 : x
  2. Step 2: Convert to fraction form
    1,461.88/2,017.14 = 840.76/x
  3. Step 3: Cross multiply
    1,461.88x = 2,017.14 × 840.76
  4. Step 4: Simplify right side
    1,461.88x = 1,695,930.63
  5. Step 5: Solve for x
    x = 1,695,930.63/1,461.88
  6. Step 6: Final answer
    x = 1,160.10

Related Problems

Find fourth proportional to 730.94, 1,008.57 and 420.38
Half scale
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Double scale
Find fourth proportional to 1,462.88, 2,018.52 and 841.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.