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Finding the Fourth Proportional to 489.11, 734.27 and 447.80

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Solution

The fourth proportional to 489.11, 734.27 and 447.80 is: 672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 734.27 = 447.80 : x
  2. Step 2: Convert to fraction form
    489.11/734.27 = 447.80/x
  3. Step 3: Cross multiply
    489.11x = 734.27 × 447.80
  4. Step 4: Simplify right side
    489.11x = 328,800.20
  5. Step 5: Solve for x
    x = 328,800.20/489.11
  6. Step 6: Final answer
    x = 672.25

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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.