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Finding the Fourth Proportional to 660.34, 982.19 and 658.11

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Solution

The fourth proportional to 660.34, 982.19 and 658.11 is: 978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.34 : 982.19 = 658.11 : x
  2. Step 2: Convert to fraction form
    660.34/982.19 = 658.11/x
  3. Step 3: Cross multiply
    660.34x = 982.19 × 658.11
  4. Step 4: Simplify right side
    660.34x = 646,389.06
  5. Step 5: Solve for x
    x = 646,389.06/660.34
  6. Step 6: Final answer
    x = 978.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.