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Finding the Fourth Proportional to 452.38, 677.39 and 387.79

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Solution

The fourth proportional to 452.38, 677.39 and 387.79 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.38 : 677.39 = 387.79 : x
  2. Step 2: Convert to fraction form
    452.38/677.39 = 387.79/x
  3. Step 3: Cross multiply
    452.38x = 677.39 × 387.79
  4. Step 4: Simplify right side
    452.38x = 262,685.07
  5. Step 5: Solve for x
    x = 262,685.07/452.38
  6. Step 6: Final answer
    x = 580.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.