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Finding the Fourth Proportional to 478.36, 658.78 and 411.49

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Solution

The fourth proportional to 478.36, 658.78 and 411.49 is: 566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.36 : 658.78 = 411.49 : x
  2. Step 2: Convert to fraction form
    478.36/658.78 = 411.49/x
  3. Step 3: Cross multiply
    478.36x = 658.78 × 411.49
  4. Step 4: Simplify right side
    478.36x = 271,081.38
  5. Step 5: Solve for x
    x = 271,081.38/478.36
  6. Step 6: Final answer
    x = 566.69

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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.