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Finding the Fourth Proportional to 925.38, 1,377.75 and 912.46

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Solution

The fourth proportional to 925.38, 1,377.75 and 912.46 is: 1,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.38 : 1,377.75 = 912.46 : x
  2. Step 2: Convert to fraction form
    925.38/1,377.75 = 912.46/x
  3. Step 3: Cross multiply
    925.38x = 1,377.75 × 912.46
  4. Step 4: Simplify right side
    925.38x = 1,257,134.88
  5. Step 5: Solve for x
    x = 1,257,134.88/925.38
  6. Step 6: Final answer
    x = 1,358.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.