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Finding the Fourth Proportional to 448.74, 674.14 and 387.24

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Solution

The fourth proportional to 448.74, 674.14 and 387.24 is: 581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.74 : 674.14 = 387.24 : x
  2. Step 2: Convert to fraction form
    448.74/674.14 = 387.24/x
  3. Step 3: Cross multiply
    448.74x = 674.14 × 387.24
  4. Step 4: Simplify right side
    448.74x = 261,053.97
  5. Step 5: Solve for x
    x = 261,053.97/448.74
  6. Step 6: Final answer
    x = 581.75

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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.