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Finding the Fourth Proportional to 489.30, 734.18 and 449.20

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Solution

The fourth proportional to 489.30, 734.18 and 449.20 is: 674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.30 : 734.18 = 449.20 : x
  2. Step 2: Convert to fraction form
    489.30/734.18 = 449.20/x
  3. Step 3: Cross multiply
    489.30x = 734.18 × 449.20
  4. Step 4: Simplify right side
    489.30x = 329,793.66
  5. Step 5: Solve for x
    x = 329,793.66/489.30
  6. Step 6: Final answer
    x = 674.01

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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.