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Finding the Fourth Proportional to 882.70, 1,324.67 and 305.58

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Solution

The fourth proportional to 882.70, 1,324.67 and 305.58 is: 458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,324.67 = 305.58 : x
  2. Step 2: Convert to fraction form
    882.70/1,324.67 = 305.58/x
  3. Step 3: Cross multiply
    882.70x = 1,324.67 × 305.58
  4. Step 4: Simplify right side
    882.70x = 404,788.65
  5. Step 5: Solve for x
    x = 404,788.65/882.70
  6. Step 6: Final answer
    x = 458.58

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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.