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Finding the Fourth Proportional to 689.42, 951.61 and 394.88

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Solution

The fourth proportional to 689.42, 951.61 and 394.88 is: 545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.42 : 951.61 = 394.88 : x
  2. Step 2: Convert to fraction form
    689.42/951.61 = 394.88/x
  3. Step 3: Cross multiply
    689.42x = 951.61 × 394.88
  4. Step 4: Simplify right side
    689.42x = 375,773.15
  5. Step 5: Solve for x
    x = 375,773.15/689.42
  6. Step 6: Final answer
    x = 545.06

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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.