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Finding the Fourth Proportional to 826.25, 1,236.90 and 609.98

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Solution

The fourth proportional to 826.25, 1,236.90 and 609.98 is: 913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.25 : 1,236.90 = 609.98 : x
  2. Step 2: Convert to fraction form
    826.25/1,236.90 = 609.98/x
  3. Step 3: Cross multiply
    826.25x = 1,236.90 × 609.98
  4. Step 4: Simplify right side
    826.25x = 754,478.08
  5. Step 5: Solve for x
    x = 754,478.08/826.25
  6. Step 6: Final answer
    x = 913.14

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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.