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Finding the Fourth Proportional to 775.20, 1,157.10 and 726.60

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Solution

The fourth proportional to 775.20, 1,157.10 and 726.60 is: 1,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.20 : 1,157.10 = 726.60 : x
  2. Step 2: Convert to fraction form
    775.20/1,157.10 = 726.60/x
  3. Step 3: Cross multiply
    775.20x = 1,157.10 × 726.60
  4. Step 4: Simplify right side
    775.20x = 840,748.86
  5. Step 5: Solve for x
    x = 840,748.86/775.20
  6. Step 6: Final answer
    x = 1,084.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.