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Finding the Fourth Proportional to 882.79, 1,324.28 and 305.53

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Solution

The fourth proportional to 882.79, 1,324.28 and 305.53 is: 458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.79 : 1,324.28 = 305.53 : x
  2. Step 2: Convert to fraction form
    882.79/1,324.28 = 305.53/x
  3. Step 3: Cross multiply
    882.79x = 1,324.28 × 305.53
  4. Step 4: Simplify right side
    882.79x = 404,605.74
  5. Step 5: Solve for x
    x = 404,605.74/882.79
  6. Step 6: Final answer
    x = 458.33

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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.