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Finding the Fourth Proportional to 925.48, 1,381.73 and 763.48

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Solution

The fourth proportional to 925.48, 1,381.73 and 763.48 is: 1,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.48 : 1,381.73 = 763.48 : x
  2. Step 2: Convert to fraction form
    925.48/1,381.73 = 763.48/x
  3. Step 3: Cross multiply
    925.48x = 1,381.73 × 763.48
  4. Step 4: Simplify right side
    925.48x = 1,054,923.22
  5. Step 5: Solve for x
    x = 1,054,923.22/925.48
  6. Step 6: Final answer
    x = 1,139.87

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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.