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Finding the Fourth Proportional to 1,171.02, 1,761.93 and 966.90

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Solution

The fourth proportional to 1,171.02, 1,761.93 and 966.90 is: 1,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.02 : 1,761.93 = 966.90 : x
  2. Step 2: Convert to fraction form
    1,171.02/1,761.93 = 966.90/x
  3. Step 3: Cross multiply
    1,171.02x = 1,761.93 × 966.90
  4. Step 4: Simplify right side
    1,171.02x = 1,703,610.12
  5. Step 5: Solve for x
    x = 1,703,610.12/1,171.02
  6. Step 6: Final answer
    x = 1,454.81

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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.