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Finding the Fourth Proportional to 500.58, 691.24 and 314.39

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Solution

The fourth proportional to 500.58, 691.24 and 314.39 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 691.24 = 314.39 : x
  2. Step 2: Convert to fraction form
    500.58/691.24 = 314.39/x
  3. Step 3: Cross multiply
    500.58x = 691.24 × 314.39
  4. Step 4: Simplify right side
    500.58x = 217,319.89
  5. Step 5: Solve for x
    x = 217,319.89/500.58
  6. Step 6: Final answer
    x = 434.14

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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.