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Finding the Fourth Proportional to 874.05, 1,206.26 and 542.62

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Solution

The fourth proportional to 874.05, 1,206.26 and 542.62 is: 748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.05 : 1,206.26 = 542.62 : x
  2. Step 2: Convert to fraction form
    874.05/1,206.26 = 542.62/x
  3. Step 3: Cross multiply
    874.05x = 1,206.26 × 542.62
  4. Step 4: Simplify right side
    874.05x = 654,540.80
  5. Step 5: Solve for x
    x = 654,540.80/874.05
  6. Step 6: Final answer
    x = 748.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.