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Finding the Fourth Proportional to 925.92, 1,389.36 and 514.80

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Solution

The fourth proportional to 925.92, 1,389.36 and 514.80 is: 772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.92 : 1,389.36 = 514.80 : x
  2. Step 2: Convert to fraction form
    925.92/1,389.36 = 514.80/x
  3. Step 3: Cross multiply
    925.92x = 1,389.36 × 514.80
  4. Step 4: Simplify right side
    925.92x = 715,242.53
  5. Step 5: Solve for x
    x = 715,242.53/925.92
  6. Step 6: Final answer
    x = 772.47

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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.