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Finding the Fourth Proportional to 717.82, 990.96 and 601.18

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Solution

The fourth proportional to 717.82, 990.96 and 601.18 is: 829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 990.96 = 601.18 : x
  2. Step 2: Convert to fraction form
    717.82/990.96 = 601.18/x
  3. Step 3: Cross multiply
    717.82x = 990.96 × 601.18
  4. Step 4: Simplify right side
    717.82x = 595,745.33
  5. Step 5: Solve for x
    x = 595,745.33/717.82
  6. Step 6: Final answer
    x = 829.94

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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.