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Finding the Fourth Proportional to 966.98, 1,449.16 and 705.76

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Solution

The fourth proportional to 966.98, 1,449.16 and 705.76 is: 1,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.98 : 1,449.16 = 705.76 : x
  2. Step 2: Convert to fraction form
    966.98/1,449.16 = 705.76/x
  3. Step 3: Cross multiply
    966.98x = 1,449.16 × 705.76
  4. Step 4: Simplify right side
    966.98x = 1,022,757.74
  5. Step 5: Solve for x
    x = 1,022,757.74/966.98
  6. Step 6: Final answer
    x = 1,057.68

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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.