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Finding the Fourth Proportional to 837.14, 1,154.82 and 542.30

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Solution

The fourth proportional to 837.14, 1,154.82 and 542.30 is: 748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.14 : 1,154.82 = 542.30 : x
  2. Step 2: Convert to fraction form
    837.14/1,154.82 = 542.30/x
  3. Step 3: Cross multiply
    837.14x = 1,154.82 × 542.30
  4. Step 4: Simplify right side
    837.14x = 626,258.89
  5. Step 5: Solve for x
    x = 626,258.89/837.14
  6. Step 6: Final answer
    x = 748.09

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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.