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Finding the Fourth Proportional to 679.28, 1,011.89 and 658.89

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Solution

The fourth proportional to 679.28, 1,011.89 and 658.89 is: 981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.28 : 1,011.89 = 658.89 : x
  2. Step 2: Convert to fraction form
    679.28/1,011.89 = 658.89/x
  3. Step 3: Cross multiply
    679.28x = 1,011.89 × 658.89
  4. Step 4: Simplify right side
    679.28x = 666,725.85
  5. Step 5: Solve for x
    x = 666,725.85/679.28
  6. Step 6: Final answer
    x = 981.53

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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.