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Finding the Fourth Proportional to 961.11, 1,440.45 and 614.31

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Solution

The fourth proportional to 961.11, 1,440.45 and 614.31 is: 920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.11 : 1,440.45 = 614.31 : x
  2. Step 2: Convert to fraction form
    961.11/1,440.45 = 614.31/x
  3. Step 3: Cross multiply
    961.11x = 1,440.45 × 614.31
  4. Step 4: Simplify right side
    961.11x = 884,882.84
  5. Step 5: Solve for x
    x = 884,882.84/961.11
  6. Step 6: Final answer
    x = 920.69

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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.