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Finding the Fourth Proportional to 762.81, 1,142.38 and 724.53

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Solution

The fourth proportional to 762.81, 1,142.38 and 724.53 is: 1,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.81 : 1,142.38 = 724.53 : x
  2. Step 2: Convert to fraction form
    762.81/1,142.38 = 724.53/x
  3. Step 3: Cross multiply
    762.81x = 1,142.38 × 724.53
  4. Step 4: Simplify right side
    762.81x = 827,688.58
  5. Step 5: Solve for x
    x = 827,688.58/762.81
  6. Step 6: Final answer
    x = 1,085.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.