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Finding the Fourth Proportional to 925.85, 1,394.01 and 816.86

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Solution

The fourth proportional to 925.85, 1,394.01 and 816.86 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.85 : 1,394.01 = 816.86 : x
  2. Step 2: Convert to fraction form
    925.85/1,394.01 = 816.86/x
  3. Step 3: Cross multiply
    925.85x = 1,394.01 × 816.86
  4. Step 4: Simplify right side
    925.85x = 1,138,711.01
  5. Step 5: Solve for x
    x = 1,138,711.01/925.85
  6. Step 6: Final answer
    x = 1,229.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.