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Finding the Fourth Proportional to 717.90, 1,077.26 and 520.26

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Solution

The fourth proportional to 717.90, 1,077.26 and 520.26 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.90 : 1,077.26 = 520.26 : x
  2. Step 2: Convert to fraction form
    717.90/1,077.26 = 520.26/x
  3. Step 3: Cross multiply
    717.90x = 1,077.26 × 520.26
  4. Step 4: Simplify right side
    717.90x = 560,452.69
  5. Step 5: Solve for x
    x = 560,452.69/717.90
  6. Step 6: Final answer
    x = 780.68

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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.