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Finding the Fourth Proportional to 546.22, 815.52 and 542.38

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Solution

The fourth proportional to 546.22, 815.52 and 542.38 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.22 : 815.52 = 542.38 : x
  2. Step 2: Convert to fraction form
    546.22/815.52 = 542.38/x
  3. Step 3: Cross multiply
    546.22x = 815.52 × 542.38
  4. Step 4: Simplify right side
    546.22x = 442,321.74
  5. Step 5: Solve for x
    x = 442,321.74/546.22
  6. Step 6: Final answer
    x = 809.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.