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Finding the Fourth Proportional to 966.15, 1,443.36 and 616.71

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Solution

The fourth proportional to 966.15, 1,443.36 and 616.71 is: 921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.15 : 1,443.36 = 616.71 : x
  2. Step 2: Convert to fraction form
    966.15/1,443.36 = 616.71/x
  3. Step 3: Cross multiply
    966.15x = 1,443.36 × 616.71
  4. Step 4: Simplify right side
    966.15x = 890,134.55
  5. Step 5: Solve for x
    x = 890,134.55/966.15
  6. Step 6: Final answer
    x = 921.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.