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Finding the Fourth Proportional to 966.14, 1,449.22 and 678.86

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Solution

The fourth proportional to 966.14, 1,449.22 and 678.86 is: 1,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.14 : 1,449.22 = 678.86 : x
  2. Step 2: Convert to fraction form
    966.14/1,449.22 = 678.86/x
  3. Step 3: Cross multiply
    966.14x = 1,449.22 × 678.86
  4. Step 4: Simplify right side
    966.14x = 983,817.49
  5. Step 5: Solve for x
    x = 983,817.49/966.14
  6. Step 6: Final answer
    x = 1,018.30

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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.