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Finding the Fourth Proportional to 717.43, 1,074.33 and 601.57

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Solution

The fourth proportional to 717.43, 1,074.33 and 601.57 is: 900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.43 : 1,074.33 = 601.57 : x
  2. Step 2: Convert to fraction form
    717.43/1,074.33 = 601.57/x
  3. Step 3: Cross multiply
    717.43x = 1,074.33 × 601.57
  4. Step 4: Simplify right side
    717.43x = 646,284.70
  5. Step 5: Solve for x
    x = 646,284.70/717.43
  6. Step 6: Final answer
    x = 900.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.