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Finding the Fourth Proportional to 500.72, 691.06 and 314.26

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Solution

The fourth proportional to 500.72, 691.06 and 314.26 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.72 : 691.06 = 314.26 : x
  2. Step 2: Convert to fraction form
    500.72/691.06 = 314.26/x
  3. Step 3: Cross multiply
    500.72x = 691.06 × 314.26
  4. Step 4: Simplify right side
    500.72x = 217,172.52
  5. Step 5: Solve for x
    x = 217,172.52/500.72
  6. Step 6: Final answer
    x = 433.72

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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.