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Finding the Fourth Proportional to 1,462.11, 2,017.04 and 840.75

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Solution

The fourth proportional to 1,462.11, 2,017.04 and 840.75 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.11 : 2,017.04 = 840.75 : x
  2. Step 2: Convert to fraction form
    1,462.11/2,017.04 = 840.75/x
  3. Step 3: Cross multiply
    1,462.11x = 2,017.04 × 840.75
  4. Step 4: Simplify right side
    1,462.11x = 1,695,822.18
  5. Step 5: Solve for x
    x = 1,695,822.18/1,462.11
  6. Step 6: Final answer
    x = 1,159.85

Related Problems

Find fourth proportional to 731.06, 1,008.52 and 420.38
Half scale
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Double scale
Find fourth proportional to 1,463.11, 2,018.41 and 841.75
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.