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Finding the Fourth Proportional to 850.35, 1,171.29 and 717.42

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Solution

The fourth proportional to 850.35, 1,171.29 and 717.42 is: 988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.35 : 1,171.29 = 717.42 : x
  2. Step 2: Convert to fraction form
    850.35/1,171.29 = 717.42/x
  3. Step 3: Cross multiply
    850.35x = 1,171.29 × 717.42
  4. Step 4: Simplify right side
    850.35x = 840,306.87
  5. Step 5: Solve for x
    x = 840,306.87/850.35
  6. Step 6: Final answer
    x = 988.19

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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.