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Finding the Fourth Proportional to 949.29, 1,425.99 and 826.29

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Solution

The fourth proportional to 949.29, 1,425.99 and 826.29 is: 1,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.29 : 1,425.99 = 826.29 : x
  2. Step 2: Convert to fraction form
    949.29/1,425.99 = 826.29/x
  3. Step 3: Cross multiply
    949.29x = 1,425.99 × 826.29
  4. Step 4: Simplify right side
    949.29x = 1,178,281.28
  5. Step 5: Solve for x
    x = 1,178,281.28/949.29
  6. Step 6: Final answer
    x = 1,241.22

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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.