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Finding the Fourth Proportional to 489.67, 738.13 and 482.38

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Solution

The fourth proportional to 489.67, 738.13 and 482.38 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.67 : 738.13 = 482.38 : x
  2. Step 2: Convert to fraction form
    489.67/738.13 = 482.38/x
  3. Step 3: Cross multiply
    489.67x = 738.13 × 482.38
  4. Step 4: Simplify right side
    489.67x = 356,059.15
  5. Step 5: Solve for x
    x = 356,059.15/489.67
  6. Step 6: Final answer
    x = 727.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.