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Finding the Fourth Proportional to 461.12, 691.78 and 172.58

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Solution

The fourth proportional to 461.12, 691.78 and 172.58 is: 258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 691.78 = 172.58 : x
  2. Step 2: Convert to fraction form
    461.12/691.78 = 172.58/x
  3. Step 3: Cross multiply
    461.12x = 691.78 × 172.58
  4. Step 4: Simplify right side
    461.12x = 119,387.39
  5. Step 5: Solve for x
    x = 119,387.39/461.12
  6. Step 6: Final answer
    x = 258.91

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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.