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Finding the Fourth Proportional to 961.52, 1,438.07 and 891.45

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Solution

The fourth proportional to 961.52, 1,438.07 and 891.45 is: 1,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.52 : 1,438.07 = 891.45 : x
  2. Step 2: Convert to fraction form
    961.52/1,438.07 = 891.45/x
  3. Step 3: Cross multiply
    961.52x = 1,438.07 × 891.45
  4. Step 4: Simplify right side
    961.52x = 1,281,963.04
  5. Step 5: Solve for x
    x = 1,281,963.04/961.52
  6. Step 6: Final answer
    x = 1,333.27

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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.