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Finding the Fourth Proportional to 883.16, 1,324.80 and 305.84

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Solution

The fourth proportional to 883.16, 1,324.80 and 305.84 is: 458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.16 : 1,324.80 = 305.84 : x
  2. Step 2: Convert to fraction form
    883.16/1,324.80 = 305.84/x
  3. Step 3: Cross multiply
    883.16x = 1,324.80 × 305.84
  4. Step 4: Simplify right side
    883.16x = 405,176.83
  5. Step 5: Solve for x
    x = 405,176.83/883.16
  6. Step 6: Final answer
    x = 458.78

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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.