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Finding the Fourth Proportional to 966.41, 1,449.61 and 389.69

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Solution

The fourth proportional to 966.41, 1,449.61 and 389.69 is: 584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.41 : 1,449.61 = 389.69 : x
  2. Step 2: Convert to fraction form
    966.41/1,449.61 = 389.69/x
  3. Step 3: Cross multiply
    966.41x = 1,449.61 × 389.69
  4. Step 4: Simplify right side
    966.41x = 564,890.30
  5. Step 5: Solve for x
    x = 564,890.30/966.41
  6. Step 6: Final answer
    x = 584.53

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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.