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Finding the Fourth Proportional to 963.72, 1,329.62 and 614.52

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Solution

The fourth proportional to 963.72, 1,329.62 and 614.52 is: 847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.72 : 1,329.62 = 614.52 : x
  2. Step 2: Convert to fraction form
    963.72/1,329.62 = 614.52/x
  3. Step 3: Cross multiply
    963.72x = 1,329.62 × 614.52
  4. Step 4: Simplify right side
    963.72x = 817,078.08
  5. Step 5: Solve for x
    x = 817,078.08/963.72
  6. Step 6: Final answer
    x = 847.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.