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Finding the Fourth Proportional to 461.65, 691.35 and 287.78

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Solution

The fourth proportional to 461.65, 691.35 and 287.78 is: 430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.65 : 691.35 = 287.78 : x
  2. Step 2: Convert to fraction form
    461.65/691.35 = 287.78/x
  3. Step 3: Cross multiply
    461.65x = 691.35 × 287.78
  4. Step 4: Simplify right side
    461.65x = 198,956.70
  5. Step 5: Solve for x
    x = 198,956.70/461.65
  6. Step 6: Final answer
    x = 430.97

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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.