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Finding the Fourth Proportional to 1,016.97, 1,402.87 and 618.75

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Solution

The fourth proportional to 1,016.97, 1,402.87 and 618.75 is: 853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.97 : 1,402.87 = 618.75 : x
  2. Step 2: Convert to fraction form
    1,016.97/1,402.87 = 618.75/x
  3. Step 3: Cross multiply
    1,016.97x = 1,402.87 × 618.75
  4. Step 4: Simplify right side
    1,016.97x = 868,027.17
  5. Step 5: Solve for x
    x = 868,027.17/1,016.97
  6. Step 6: Final answer
    x = 853.55

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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.