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Finding the Fourth Proportional to 1,162.65, 1,744.30 and 469.80

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Solution

The fourth proportional to 1,162.65, 1,744.30 and 469.80 is: 704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.65 : 1,744.30 = 469.80 : x
  2. Step 2: Convert to fraction form
    1,162.65/1,744.30 = 469.80/x
  3. Step 3: Cross multiply
    1,162.65x = 1,744.30 × 469.80
  4. Step 4: Simplify right side
    1,162.65x = 819,472.73
  5. Step 5: Solve for x
    x = 819,472.73/1,162.65
  6. Step 6: Final answer
    x = 704.83

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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.