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Finding the Fourth Proportional to 561.24, 844.98 and 496.62

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Solution

The fourth proportional to 561.24, 844.98 and 496.62 is: 747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 844.98 = 496.62 : x
  2. Step 2: Convert to fraction form
    561.24/844.98 = 496.62/x
  3. Step 3: Cross multiply
    561.24x = 844.98 × 496.62
  4. Step 4: Simplify right side
    561.24x = 419,633.97
  5. Step 5: Solve for x
    x = 419,633.97/561.24
  6. Step 6: Final answer
    x = 747.69

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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.