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Finding the Fourth Proportional to 961.52, 1,443.90 and 953.96

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Solution

The fourth proportional to 961.52, 1,443.90 and 953.96 is: 1,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.52 : 1,443.90 = 953.96 : x
  2. Step 2: Convert to fraction form
    961.52/1,443.90 = 953.96/x
  3. Step 3: Cross multiply
    961.52x = 1,443.90 × 953.96
  4. Step 4: Simplify right side
    961.52x = 1,377,422.84
  5. Step 5: Solve for x
    x = 1,377,422.84/961.52
  6. Step 6: Final answer
    x = 1,432.55

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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.