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Finding the Fourth Proportional to 461.79, 691.60 and 388.89

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Solution

The fourth proportional to 461.79, 691.60 and 388.89 is: 582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.79 : 691.60 = 388.89 : x
  2. Step 2: Convert to fraction form
    461.79/691.60 = 388.89/x
  3. Step 3: Cross multiply
    461.79x = 691.60 × 388.89
  4. Step 4: Simplify right side
    461.79x = 268,951.89
  5. Step 5: Solve for x
    x = 268,951.89/461.79
  6. Step 6: Final answer
    x = 582.42

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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.