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Finding the Fourth Proportional to 989.83, 1,365.96 and 616.87

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Solution

The fourth proportional to 989.83, 1,365.96 and 616.87 is: 851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.83 : 1,365.96 = 616.87 : x
  2. Step 2: Convert to fraction form
    989.83/1,365.96 = 616.87/x
  3. Step 3: Cross multiply
    989.83x = 1,365.96 × 616.87
  4. Step 4: Simplify right side
    989.83x = 842,619.75
  5. Step 5: Solve for x
    x = 842,619.75/989.83
  6. Step 6: Final answer
    x = 851.28

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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.