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Finding the Fourth Proportional to 882.39, 1,323.87 and 297.68

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Solution

The fourth proportional to 882.39, 1,323.87 and 297.68 is: 446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.39 : 1,323.87 = 297.68 : x
  2. Step 2: Convert to fraction form
    882.39/1,323.87 = 297.68/x
  3. Step 3: Cross multiply
    882.39x = 1,323.87 × 297.68
  4. Step 4: Simplify right side
    882.39x = 394,083.00
  5. Step 5: Solve for x
    x = 394,083.00/882.39
  6. Step 6: Final answer
    x = 446.61

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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.