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Finding the Fourth Proportional to 724.14, 1,085.51 and 477.53

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Solution

The fourth proportional to 724.14, 1,085.51 and 477.53 is: 715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 1,085.51 = 477.53 : x
  2. Step 2: Convert to fraction form
    724.14/1,085.51 = 477.53/x
  3. Step 3: Cross multiply
    724.14x = 1,085.51 × 477.53
  4. Step 4: Simplify right side
    724.14x = 518,362.08
  5. Step 5: Solve for x
    x = 518,362.08/724.14
  6. Step 6: Final answer
    x = 715.83

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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.