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Finding the Fourth Proportional to 411.69, 614.46 and 379.14

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Solution

The fourth proportional to 411.69, 614.46 and 379.14 is: 565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.69 : 614.46 = 379.14 : x
  2. Step 2: Convert to fraction form
    411.69/614.46 = 379.14/x
  3. Step 3: Cross multiply
    411.69x = 614.46 × 379.14
  4. Step 4: Simplify right side
    411.69x = 232,966.36
  5. Step 5: Solve for x
    x = 232,966.36/411.69
  6. Step 6: Final answer
    x = 565.88

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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.