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Finding the Fourth Proportional to 966.11, 1,447.34 and 478.89

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Solution

The fourth proportional to 966.11, 1,447.34 and 478.89 is: 717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.11 : 1,447.34 = 478.89 : x
  2. Step 2: Convert to fraction form
    966.11/1,447.34 = 478.89/x
  3. Step 3: Cross multiply
    966.11x = 1,447.34 × 478.89
  4. Step 4: Simplify right side
    966.11x = 693,114.26
  5. Step 5: Solve for x
    x = 693,114.26/966.11
  6. Step 6: Final answer
    x = 717.43

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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.