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Finding the Fourth Proportional to 826.52, 1,234.90 and 617.48

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Solution

The fourth proportional to 826.52, 1,234.90 and 617.48 is: 922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.52 : 1,234.90 = 617.48 : x
  2. Step 2: Convert to fraction form
    826.52/1,234.90 = 617.48/x
  3. Step 3: Cross multiply
    826.52x = 1,234.90 × 617.48
  4. Step 4: Simplify right side
    826.52x = 762,526.05
  5. Step 5: Solve for x
    x = 762,526.05/826.52
  6. Step 6: Final answer
    x = 922.57

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Double scale
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1.5x scale

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.