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Finding the Fourth Proportional to 689.05, 1,032.37 and 658.20

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Solution

The fourth proportional to 689.05, 1,032.37 and 658.20 is: 986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.05 : 1,032.37 = 658.20 : x
  2. Step 2: Convert to fraction form
    689.05/1,032.37 = 658.20/x
  3. Step 3: Cross multiply
    689.05x = 1,032.37 × 658.20
  4. Step 4: Simplify right side
    689.05x = 679,505.93
  5. Step 5: Solve for x
    x = 679,505.93/689.05
  6. Step 6: Final answer
    x = 986.15

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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.