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Finding the Fourth Proportional to 489.65, 733.31 and 425.18

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Solution

The fourth proportional to 489.65, 733.31 and 425.18 is: 636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.65 : 733.31 = 425.18 : x
  2. Step 2: Convert to fraction form
    489.65/733.31 = 425.18/x
  3. Step 3: Cross multiply
    489.65x = 733.31 × 425.18
  4. Step 4: Simplify right side
    489.65x = 311,787.98
  5. Step 5: Solve for x
    x = 311,787.98/489.65
  6. Step 6: Final answer
    x = 636.76

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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.