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Finding the Fourth Proportional to 837.82, 1,155.57 and 542.86

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Solution

The fourth proportional to 837.82, 1,155.57 and 542.86 is: 748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.82 : 1,155.57 = 542.86 : x
  2. Step 2: Convert to fraction form
    837.82/1,155.57 = 542.86/x
  3. Step 3: Cross multiply
    837.82x = 1,155.57 × 542.86
  4. Step 4: Simplify right side
    837.82x = 627,312.73
  5. Step 5: Solve for x
    x = 627,312.73/837.82
  6. Step 6: Final answer
    x = 748.74

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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.