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Finding the Fourth Proportional to 414.55, 618.80 and 387.19

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Solution

The fourth proportional to 414.55, 618.80 and 387.19 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.55 : 618.80 = 387.19 : x
  2. Step 2: Convert to fraction form
    414.55/618.80 = 387.19/x
  3. Step 3: Cross multiply
    414.55x = 618.80 × 387.19
  4. Step 4: Simplify right side
    414.55x = 239,593.17
  5. Step 5: Solve for x
    x = 239,593.17/414.55
  6. Step 6: Final answer
    x = 577.96

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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.