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Finding the Fourth Proportional to 489.06, 674.87 and 292.57

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Solution

The fourth proportional to 489.06, 674.87 and 292.57 is: 403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.06 : 674.87 = 292.57 : x
  2. Step 2: Convert to fraction form
    489.06/674.87 = 292.57/x
  3. Step 3: Cross multiply
    489.06x = 674.87 × 292.57
  4. Step 4: Simplify right side
    489.06x = 197,445.25
  5. Step 5: Solve for x
    x = 197,445.25/489.06
  6. Step 6: Final answer
    x = 403.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.