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Finding the Fourth Proportional to 681.77, 1,027.39 and 616.97

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Solution

The fourth proportional to 681.77, 1,027.39 and 616.97 is: 929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.77 : 1,027.39 = 616.97 : x
  2. Step 2: Convert to fraction form
    681.77/1,027.39 = 616.97/x
  3. Step 3: Cross multiply
    681.77x = 1,027.39 × 616.97
  4. Step 4: Simplify right side
    681.77x = 633,870.99
  5. Step 5: Solve for x
    x = 633,870.99/681.77
  6. Step 6: Final answer
    x = 929.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.