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Finding the Fourth Proportional to 1,163.31, 1,744.56 and 469.80

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Solution

The fourth proportional to 1,163.31, 1,744.56 and 469.80 is: 704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.31 : 1,744.56 = 469.80 : x
  2. Step 2: Convert to fraction form
    1,163.31/1,744.56 = 469.80/x
  3. Step 3: Cross multiply
    1,163.31x = 1,744.56 × 469.80
  4. Step 4: Simplify right side
    1,163.31x = 819,594.29
  5. Step 5: Solve for x
    x = 819,594.29/1,163.31
  6. Step 6: Final answer
    x = 704.54

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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.