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Finding the Fourth Proportional to 500.53, 747.13 and 464.39

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Solution

The fourth proportional to 500.53, 747.13 and 464.39 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.53 : 747.13 = 464.39 : x
  2. Step 2: Convert to fraction form
    500.53/747.13 = 464.39/x
  3. Step 3: Cross multiply
    500.53x = 747.13 × 464.39
  4. Step 4: Simplify right side
    500.53x = 346,959.70
  5. Step 5: Solve for x
    x = 346,959.70/500.53
  6. Step 6: Final answer
    x = 693.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.