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Finding the Fourth Proportional to 561.08, 844.92 and 489.80

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Solution

The fourth proportional to 561.08, 844.92 and 489.80 is: 737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.08 : 844.92 = 489.80 : x
  2. Step 2: Convert to fraction form
    561.08/844.92 = 489.80/x
  3. Step 3: Cross multiply
    561.08x = 844.92 × 489.80
  4. Step 4: Simplify right side
    561.08x = 413,841.82
  5. Step 5: Solve for x
    x = 413,841.82/561.08
  6. Step 6: Final answer
    x = 737.58

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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.