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Finding the Fourth Proportional to 966.54, 1,450.76 and 689.20

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Solution

The fourth proportional to 966.54, 1,450.76 and 689.20 is: 1,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.54 : 1,450.76 = 689.20 : x
  2. Step 2: Convert to fraction form
    966.54/1,450.76 = 689.20/x
  3. Step 3: Cross multiply
    966.54x = 1,450.76 × 689.20
  4. Step 4: Simplify right side
    966.54x = 999,856.72
  5. Step 5: Solve for x
    x = 999,856.72/966.54
  6. Step 6: Final answer
    x = 1,034.47

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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.