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Finding the Fourth Proportional to 409.73, 611.62 and 379.69

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Solution

The fourth proportional to 409.73, 611.62 and 379.69 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.73 : 611.62 = 379.69 : x
  2. Step 2: Convert to fraction form
    409.73/611.62 = 379.69/x
  3. Step 3: Cross multiply
    409.73x = 611.62 × 379.69
  4. Step 4: Simplify right side
    409.73x = 232,223.52
  5. Step 5: Solve for x
    x = 232,223.52/409.73
  6. Step 6: Final answer
    x = 566.78

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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.