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Finding the Fourth Proportional to 1,460.20, 2,014.82 and 870.76

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Solution

The fourth proportional to 1,460.20, 2,014.82 and 870.76 is: 1,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.20 : 2,014.82 = 870.76 : x
  2. Step 2: Convert to fraction form
    1,460.20/2,014.82 = 870.76/x
  3. Step 3: Cross multiply
    1,460.20x = 2,014.82 × 870.76
  4. Step 4: Simplify right side
    1,460.20x = 1,754,424.66
  5. Step 5: Solve for x
    x = 1,754,424.66/1,460.20
  6. Step 6: Final answer
    x = 1,201.50

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Half scale
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Double scale
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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.