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Finding the Fourth Proportional to 448.47, 674.01 and 371.88

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Solution

The fourth proportional to 448.47, 674.01 and 371.88 is: 558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.47 : 674.01 = 371.88 : x
  2. Step 2: Convert to fraction form
    448.47/674.01 = 371.88/x
  3. Step 3: Cross multiply
    448.47x = 674.01 × 371.88
  4. Step 4: Simplify right side
    448.47x = 250,650.84
  5. Step 5: Solve for x
    x = 250,650.84/448.47
  6. Step 6: Final answer
    x = 558.90

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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.