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Finding the Fourth Proportional to 879.62, 1,213.96 and 658.18

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Solution

The fourth proportional to 879.62, 1,213.96 and 658.18 is: 908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.62 : 1,213.96 = 658.18 : x
  2. Step 2: Convert to fraction form
    879.62/1,213.96 = 658.18/x
  3. Step 3: Cross multiply
    879.62x = 1,213.96 × 658.18
  4. Step 4: Simplify right side
    879.62x = 799,004.19
  5. Step 5: Solve for x
    x = 799,004.19/879.62
  6. Step 6: Final answer
    x = 908.35

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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.