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Finding the Fourth Proportional to 837.52, 1,154.96 and 527.20

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Solution

The fourth proportional to 837.52, 1,154.96 and 527.20 is: 727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,154.96 = 527.20 : x
  2. Step 2: Convert to fraction form
    837.52/1,154.96 = 527.20/x
  3. Step 3: Cross multiply
    837.52x = 1,154.96 × 527.20
  4. Step 4: Simplify right side
    837.52x = 608,894.91
  5. Step 5: Solve for x
    x = 608,894.91/837.52
  6. Step 6: Final answer
    x = 727.02

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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.