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Finding the Fourth Proportional to 461.39, 691.45 and 306.91

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Solution

The fourth proportional to 461.39, 691.45 and 306.91 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.39 : 691.45 = 306.91 : x
  2. Step 2: Convert to fraction form
    461.39/691.45 = 306.91/x
  3. Step 3: Cross multiply
    461.39x = 691.45 × 306.91
  4. Step 4: Simplify right side
    461.39x = 212,212.92
  5. Step 5: Solve for x
    x = 212,212.92/461.39
  6. Step 6: Final answer
    x = 459.94

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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.