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Finding the Fourth Proportional to 1,147.59, 1,721.25 and 531.09

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Solution

The fourth proportional to 1,147.59, 1,721.25 and 531.09 is: 796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.59 : 1,721.25 = 531.09 : x
  2. Step 2: Convert to fraction form
    1,147.59/1,721.25 = 531.09/x
  3. Step 3: Cross multiply
    1,147.59x = 1,721.25 × 531.09
  4. Step 4: Simplify right side
    1,147.59x = 914,138.66
  5. Step 5: Solve for x
    x = 914,138.66/1,147.59
  6. Step 6: Final answer
    x = 796.57

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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.