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Finding the Fourth Proportional to 787.71, 1,086.68 and 724.53

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Solution

The fourth proportional to 787.71, 1,086.68 and 724.53 is: 999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.71 : 1,086.68 = 724.53 : x
  2. Step 2: Convert to fraction form
    787.71/1,086.68 = 724.53/x
  3. Step 3: Cross multiply
    787.71x = 1,086.68 × 724.53
  4. Step 4: Simplify right side
    787.71x = 787,332.26
  5. Step 5: Solve for x
    x = 787,332.26/787.71
  6. Step 6: Final answer
    x = 999.52

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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.