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Finding the Fourth Proportional to 989.68, 1,365.77 and 616.81

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Solution

The fourth proportional to 989.68, 1,365.77 and 616.81 is: 851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.68 : 1,365.77 = 616.81 : x
  2. Step 2: Convert to fraction form
    989.68/1,365.77 = 616.81/x
  3. Step 3: Cross multiply
    989.68x = 1,365.77 × 616.81
  4. Step 4: Simplify right side
    989.68x = 842,410.68
  5. Step 5: Solve for x
    x = 842,410.68/989.68
  6. Step 6: Final answer
    x = 851.20

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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.