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Finding the Fourth Proportional to 452.12, 674.98 and 387.14

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Solution

The fourth proportional to 452.12, 674.98 and 387.14 is: 577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 674.98 = 387.14 : x
  2. Step 2: Convert to fraction form
    452.12/674.98 = 387.14/x
  3. Step 3: Cross multiply
    452.12x = 674.98 × 387.14
  4. Step 4: Simplify right side
    452.12x = 261,307.41
  5. Step 5: Solve for x
    x = 261,307.41/452.12
  6. Step 6: Final answer
    x = 577.97

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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.