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Finding the Fourth Proportional to 966.74, 1,447.81 and 782.19

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Solution

The fourth proportional to 966.74, 1,447.81 and 782.19 is: 1,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.74 : 1,447.81 = 782.19 : x
  2. Step 2: Convert to fraction form
    966.74/1,447.81 = 782.19/x
  3. Step 3: Cross multiply
    966.74x = 1,447.81 × 782.19
  4. Step 4: Simplify right side
    966.74x = 1,132,460.55
  5. Step 5: Solve for x
    x = 1,132,460.55/966.74
  6. Step 6: Final answer
    x = 1,171.43

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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.