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Finding the Fourth Proportional to 925.33, 1,384.48 and 665.92

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Solution

The fourth proportional to 925.33, 1,384.48 and 665.92 is: 996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.33 : 1,384.48 = 665.92 : x
  2. Step 2: Convert to fraction form
    925.33/1,384.48 = 665.92/x
  3. Step 3: Cross multiply
    925.33x = 1,384.48 × 665.92
  4. Step 4: Simplify right side
    925.33x = 921,952.92
  5. Step 5: Solve for x
    x = 921,952.92/925.33
  6. Step 6: Final answer
    x = 996.35

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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.