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Finding the Fourth Proportional to 452.24, 674.38 and 387.56

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Solution

The fourth proportional to 452.24, 674.38 and 387.56 is: 577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.24 : 674.38 = 387.56 : x
  2. Step 2: Convert to fraction form
    452.24/674.38 = 387.56/x
  3. Step 3: Cross multiply
    452.24x = 674.38 × 387.56
  4. Step 4: Simplify right side
    452.24x = 261,362.71
  5. Step 5: Solve for x
    x = 261,362.71/452.24
  6. Step 6: Final answer
    x = 577.93

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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.