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Finding the Fourth Proportional to 925.98, 1,389.20 and 761.71

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Solution

The fourth proportional to 925.98, 1,389.20 and 761.71 is: 1,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.98 : 1,389.20 = 761.71 : x
  2. Step 2: Convert to fraction form
    925.98/1,389.20 = 761.71/x
  3. Step 3: Cross multiply
    925.98x = 1,389.20 × 761.71
  4. Step 4: Simplify right side
    925.98x = 1,058,167.53
  5. Step 5: Solve for x
    x = 1,058,167.53/925.98
  6. Step 6: Final answer
    x = 1,142.75

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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.