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Finding the Fourth Proportional to 1,002.78, 1,382.54 and 687.48

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Solution

The fourth proportional to 1,002.78, 1,382.54 and 687.48 is: 947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.78 : 1,382.54 = 687.48 : x
  2. Step 2: Convert to fraction form
    1,002.78/1,382.54 = 687.48/x
  3. Step 3: Cross multiply
    1,002.78x = 1,382.54 × 687.48
  4. Step 4: Simplify right side
    1,002.78x = 950,468.60
  5. Step 5: Solve for x
    x = 950,468.60/1,002.78
  6. Step 6: Final answer
    x = 947.83

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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.