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Finding the Fourth Proportional to 461.43, 691.07 and 315.09

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Solution

The fourth proportional to 461.43, 691.07 and 315.09 is: 471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 691.07 = 315.09 : x
  2. Step 2: Convert to fraction form
    461.43/691.07 = 315.09/x
  3. Step 3: Cross multiply
    461.43x = 691.07 × 315.09
  4. Step 4: Simplify right side
    461.43x = 217,747.67
  5. Step 5: Solve for x
    x = 217,747.67/461.43
  6. Step 6: Final answer
    x = 471.90

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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.