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Finding the Fourth Proportional to 925.72, 1,388.96 and 515.14

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Solution

The fourth proportional to 925.72, 1,388.96 and 515.14 is: 772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.72 : 1,388.96 = 515.14 : x
  2. Step 2: Convert to fraction form
    925.72/1,388.96 = 515.14/x
  3. Step 3: Cross multiply
    925.72x = 1,388.96 × 515.14
  4. Step 4: Simplify right side
    925.72x = 715,499.33
  5. Step 5: Solve for x
    x = 715,499.33/925.72
  6. Step 6: Final answer
    x = 772.92

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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.