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Finding the Fourth Proportional to 989.96, 1,365.80 and 616.68

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Solution

The fourth proportional to 989.96, 1,365.80 and 616.68 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.96 : 1,365.80 = 616.68 : x
  2. Step 2: Convert to fraction form
    989.96/1,365.80 = 616.68/x
  3. Step 3: Cross multiply
    989.96x = 1,365.80 × 616.68
  4. Step 4: Simplify right side
    989.96x = 842,258.46
  5. Step 5: Solve for x
    x = 842,258.46/989.96
  6. Step 6: Final answer
    x = 850.80

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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.