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Finding the Fourth Proportional to 546.92, 820.47 and 461.06

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Solution

The fourth proportional to 546.92, 820.47 and 461.06 is: 691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 820.47 = 461.06 : x
  2. Step 2: Convert to fraction form
    546.92/820.47 = 461.06/x
  3. Step 3: Cross multiply
    546.92x = 820.47 × 461.06
  4. Step 4: Simplify right side
    546.92x = 378,281.80
  5. Step 5: Solve for x
    x = 378,281.80/546.92
  6. Step 6: Final answer
    x = 691.66

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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.