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Finding the Fourth Proportional to 489, 674.76 and 292.50

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Solution

The fourth proportional to 489, 674.76 and 292.50 is: 403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 674.76 = 292.50 : x
  2. Step 2: Convert to fraction form
    489/674.76 = 292.50/x
  3. Step 3: Cross multiply
    489x = 674.76 × 292.50
  4. Step 4: Simplify right side
    489x = 197,367.30
  5. Step 5: Solve for x
    x = 197,367.30/489
  6. Step 6: Final answer
    x = 403.61

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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.