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Finding the Fourth Proportional to 486.18, 727.90 and 447.90

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Solution

The fourth proportional to 486.18, 727.90 and 447.90 is: 670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.18 : 727.90 = 447.90 : x
  2. Step 2: Convert to fraction form
    486.18/727.90 = 447.90/x
  3. Step 3: Cross multiply
    486.18x = 727.90 × 447.90
  4. Step 4: Simplify right side
    486.18x = 326,026.41
  5. Step 5: Solve for x
    x = 326,026.41/486.18
  6. Step 6: Final answer
    x = 670.59

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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.