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Finding the Fourth Proportional to 925.55, 1,387.84 and 820.28

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Solution

The fourth proportional to 925.55, 1,387.84 and 820.28 is: 1,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.55 : 1,387.84 = 820.28 : x
  2. Step 2: Convert to fraction form
    925.55/1,387.84 = 820.28/x
  3. Step 3: Cross multiply
    925.55x = 1,387.84 × 820.28
  4. Step 4: Simplify right side
    925.55x = 1,138,417.40
  5. Step 5: Solve for x
    x = 1,138,417.40/925.55
  6. Step 6: Final answer
    x = 1,229.99

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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.