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Finding the Fourth Proportional to 1,002, 1,382.24 and 931.66

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Solution

The fourth proportional to 1,002, 1,382.24 and 931.66 is: 1,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002 : 1,382.24 = 931.66 : x
  2. Step 2: Convert to fraction form
    1,002/1,382.24 = 931.66/x
  3. Step 3: Cross multiply
    1,002x = 1,382.24 × 931.66
  4. Step 4: Simplify right side
    1,002x = 1,287,777.72
  5. Step 5: Solve for x
    x = 1,287,777.72/1,002
  6. Step 6: Final answer
    x = 1,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.