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Finding the Fourth Proportional to 489.22, 729.72 and 449.42

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Solution

The fourth proportional to 489.22, 729.72 and 449.42 is: 670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.22 : 729.72 = 449.42 : x
  2. Step 2: Convert to fraction form
    489.22/729.72 = 449.42/x
  3. Step 3: Cross multiply
    489.22x = 729.72 × 449.42
  4. Step 4: Simplify right side
    489.22x = 327,947.11
  5. Step 5: Solve for x
    x = 327,947.11/489.22
  6. Step 6: Final answer
    x = 670.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.