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Finding the Fourth Proportional to 562.41, 842.90 and 489.15

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Solution

The fourth proportional to 562.41, 842.90 and 489.15 is: 733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.41 : 842.90 = 489.15 : x
  2. Step 2: Convert to fraction form
    562.41/842.90 = 489.15/x
  3. Step 3: Cross multiply
    562.41x = 842.90 × 489.15
  4. Step 4: Simplify right side
    562.41x = 412,302.09
  5. Step 5: Solve for x
    x = 412,302.09/562.41
  6. Step 6: Final answer
    x = 733.10

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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.