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Finding the Fourth Proportional to 883.96, 1,324.86 and 306.16

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Solution

The fourth proportional to 883.96, 1,324.86 and 306.16 is: 458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.96 : 1,324.86 = 306.16 : x
  2. Step 2: Convert to fraction form
    883.96/1,324.86 = 306.16/x
  3. Step 3: Cross multiply
    883.96x = 1,324.86 × 306.16
  4. Step 4: Simplify right side
    883.96x = 405,619.14
  5. Step 5: Solve for x
    x = 405,619.14/883.96
  6. Step 6: Final answer
    x = 458.87

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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.