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Finding the Fourth Proportional to 989.66, 1,365.96 and 658.10

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Solution

The fourth proportional to 989.66, 1,365.96 and 658.10 is: 908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.66 : 1,365.96 = 658.10 : x
  2. Step 2: Convert to fraction form
    989.66/1,365.96 = 658.10/x
  3. Step 3: Cross multiply
    989.66x = 1,365.96 × 658.10
  4. Step 4: Simplify right side
    989.66x = 898,944.16
  5. Step 5: Solve for x
    x = 898,944.16/989.66
  6. Step 6: Final answer
    x = 908.33

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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.