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Finding the Fourth Proportional to 494.44, 681.72 and 400.92

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Solution

The fourth proportional to 494.44, 681.72 and 400.92 is: 552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 681.72 = 400.92 : x
  2. Step 2: Convert to fraction form
    494.44/681.72 = 400.92/x
  3. Step 3: Cross multiply
    494.44x = 681.72 × 400.92
  4. Step 4: Simplify right side
    494.44x = 273,315.18
  5. Step 5: Solve for x
    x = 273,315.18/494.44
  6. Step 6: Final answer
    x = 552.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.