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Finding the Fourth Proportional to 989.47, 1,366.11 and 616.97

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Solution

The fourth proportional to 989.47, 1,366.11 and 616.97 is: 851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.47 : 1,366.11 = 616.97 : x
  2. Step 2: Convert to fraction form
    989.47/1,366.11 = 616.97/x
  3. Step 3: Cross multiply
    989.47x = 1,366.11 × 616.97
  4. Step 4: Simplify right side
    989.47x = 842,848.89
  5. Step 5: Solve for x
    x = 842,848.89/989.47
  6. Step 6: Final answer
    x = 851.82

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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.