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Finding the Fourth Proportional to 925.74, 1,388.13 and 412.62

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Solution

The fourth proportional to 925.74, 1,388.13 and 412.62 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.74 : 1,388.13 = 412.62 : x
  2. Step 2: Convert to fraction form
    925.74/1,388.13 = 412.62/x
  3. Step 3: Cross multiply
    925.74x = 1,388.13 × 412.62
  4. Step 4: Simplify right side
    925.74x = 572,770.20
  5. Step 5: Solve for x
    x = 572,770.20/925.74
  6. Step 6: Final answer
    x = 618.72

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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.