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Finding the Fourth Proportional to 982.18, 1,472.07 and 658.18

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Solution

The fourth proportional to 982.18, 1,472.07 and 658.18 is: 986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.18 : 1,472.07 = 658.18 : x
  2. Step 2: Convert to fraction form
    982.18/1,472.07 = 658.18/x
  3. Step 3: Cross multiply
    982.18x = 1,472.07 × 658.18
  4. Step 4: Simplify right side
    982.18x = 968,887.03
  5. Step 5: Solve for x
    x = 968,887.03/982.18
  6. Step 6: Final answer
    x = 986.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.