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Finding the Fourth Proportional to 966.13, 1,447.56 and 690.82

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Solution

The fourth proportional to 966.13, 1,447.56 and 690.82 is: 1,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.13 : 1,447.56 = 690.82 : x
  2. Step 2: Convert to fraction form
    966.13/1,447.56 = 690.82/x
  3. Step 3: Cross multiply
    966.13x = 1,447.56 × 690.82
  4. Step 4: Simplify right side
    966.13x = 1,000,003.40
  5. Step 5: Solve for x
    x = 1,000,003.40/966.13
  6. Step 6: Final answer
    x = 1,035.06

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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.