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Finding the Fourth Proportional to 1,062.33, 1,593.84 and 542.61

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Solution

The fourth proportional to 1,062.33, 1,593.84 and 542.61 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.33 : 1,593.84 = 542.61 : x
  2. Step 2: Convert to fraction form
    1,062.33/1,593.84 = 542.61/x
  3. Step 3: Cross multiply
    1,062.33x = 1,593.84 × 542.61
  4. Step 4: Simplify right side
    1,062.33x = 864,833.52
  5. Step 5: Solve for x
    x = 864,833.52/1,062.33
  6. Step 6: Final answer
    x = 814.09

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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.