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Finding the Fourth Proportional to 414.52, 618.80 and 387.22

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Solution

The fourth proportional to 414.52, 618.80 and 387.22 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 618.80 = 387.22 : x
  2. Step 2: Convert to fraction form
    414.52/618.80 = 387.22/x
  3. Step 3: Cross multiply
    414.52x = 618.80 × 387.22
  4. Step 4: Simplify right side
    414.52x = 239,611.74
  5. Step 5: Solve for x
    x = 239,611.74/414.52
  6. Step 6: Final answer
    x = 578.05

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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.