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Finding the Fourth Proportional to 717.91, 990.77 and 423.41

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Solution

The fourth proportional to 717.91, 990.77 and 423.41 is: 584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.91 : 990.77 = 423.41 : x
  2. Step 2: Convert to fraction form
    717.91/990.77 = 423.41/x
  3. Step 3: Cross multiply
    717.91x = 990.77 × 423.41
  4. Step 4: Simplify right side
    717.91x = 419,494.85
  5. Step 5: Solve for x
    x = 419,494.85/717.91
  6. Step 6: Final answer
    x = 584.33

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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.