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Finding the Fourth Proportional to 883.62, 1,324.82 and 421.04

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Solution

The fourth proportional to 883.62, 1,324.82 and 421.04 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.62 : 1,324.82 = 421.04 : x
  2. Step 2: Convert to fraction form
    883.62/1,324.82 = 421.04/x
  3. Step 3: Cross multiply
    883.62x = 1,324.82 × 421.04
  4. Step 4: Simplify right side
    883.62x = 557,806.58
  5. Step 5: Solve for x
    x = 557,806.58/883.62
  6. Step 6: Final answer
    x = 631.27

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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.