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Finding the Fourth Proportional to 925.44, 1,386.32 and 513.92

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Solution

The fourth proportional to 925.44, 1,386.32 and 513.92 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.44 : 1,386.32 = 513.92 : x
  2. Step 2: Convert to fraction form
    925.44/1,386.32 = 513.92/x
  3. Step 3: Cross multiply
    925.44x = 1,386.32 × 513.92
  4. Step 4: Simplify right side
    925.44x = 712,457.57
  5. Step 5: Solve for x
    x = 712,457.57/925.44
  6. Step 6: Final answer
    x = 769.86

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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.