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Finding the Fourth Proportional to 826.57, 1,236.97 and 565.35

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Solution

The fourth proportional to 826.57, 1,236.97 and 565.35 is: 846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.57 : 1,236.97 = 565.35 : x
  2. Step 2: Convert to fraction form
    826.57/1,236.97 = 565.35/x
  3. Step 3: Cross multiply
    826.57x = 1,236.97 × 565.35
  4. Step 4: Simplify right side
    826.57x = 699,320.99
  5. Step 5: Solve for x
    x = 699,320.99/826.57
  6. Step 6: Final answer
    x = 846.05

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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.