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Finding the Fourth Proportional to 411.84, 614.73 and 363.78

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Solution

The fourth proportional to 411.84, 614.73 and 363.78 is: 542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 614.73 = 363.78 : x
  2. Step 2: Convert to fraction form
    411.84/614.73 = 363.78/x
  3. Step 3: Cross multiply
    411.84x = 614.73 × 363.78
  4. Step 4: Simplify right side
    411.84x = 223,626.48
  5. Step 5: Solve for x
    x = 223,626.48/411.84
  6. Step 6: Final answer
    x = 542.99

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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.