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Finding the Fourth Proportional to 500.96, 691.56 and 343.61

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Solution

The fourth proportional to 500.96, 691.56 and 343.61 is: 474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.96 : 691.56 = 343.61 : x
  2. Step 2: Convert to fraction form
    500.96/691.56 = 343.61/x
  3. Step 3: Cross multiply
    500.96x = 691.56 × 343.61
  4. Step 4: Simplify right side
    500.96x = 237,623.47
  5. Step 5: Solve for x
    x = 237,623.47/500.96
  6. Step 6: Final answer
    x = 474.34

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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.