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Finding the Fourth Proportional to 1,149.89, 1,723.62 and 826.70

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Solution

The fourth proportional to 1,149.89, 1,723.62 and 826.70 is: 1,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.89 : 1,723.62 = 826.70 : x
  2. Step 2: Convert to fraction form
    1,149.89/1,723.62 = 826.70/x
  3. Step 3: Cross multiply
    1,149.89x = 1,723.62 × 826.70
  4. Step 4: Simplify right side
    1,149.89x = 1,424,916.65
  5. Step 5: Solve for x
    x = 1,424,916.65/1,149.89
  6. Step 6: Final answer
    x = 1,239.18

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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.