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Finding the Fourth Proportional to 883.41, 1,324.30 and 305.88

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Solution

The fourth proportional to 883.41, 1,324.30 and 305.88 is: 458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.41 : 1,324.30 = 305.88 : x
  2. Step 2: Convert to fraction form
    883.41/1,324.30 = 305.88/x
  3. Step 3: Cross multiply
    883.41x = 1,324.30 × 305.88
  4. Step 4: Simplify right side
    883.41x = 405,068.73
  5. Step 5: Solve for x
    x = 405,068.73/883.41
  6. Step 6: Final answer
    x = 458.53

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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.