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Finding the Fourth Proportional to 461.56, 691.80 and 172.78

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Solution

The fourth proportional to 461.56, 691.80 and 172.78 is: 258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 691.80 = 172.78 : x
  2. Step 2: Convert to fraction form
    461.56/691.80 = 172.78/x
  3. Step 3: Cross multiply
    461.56x = 691.80 × 172.78
  4. Step 4: Simplify right side
    461.56x = 119,529.20
  5. Step 5: Solve for x
    x = 119,529.20/461.56
  6. Step 6: Final answer
    x = 258.97

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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.