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Finding the Fourth Proportional to 660.52, 991.24 and 295.72

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Solution

The fourth proportional to 660.52, 991.24 and 295.72 is: 443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.52 : 991.24 = 295.72 : x
  2. Step 2: Convert to fraction form
    660.52/991.24 = 295.72/x
  3. Step 3: Cross multiply
    660.52x = 991.24 × 295.72
  4. Step 4: Simplify right side
    660.52x = 293,126.28
  5. Step 5: Solve for x
    x = 293,126.28/660.52
  6. Step 6: Final answer
    x = 443.78

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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.