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Finding the Fourth Proportional to 863.21, 1,294.05 and 315.29

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Solution

The fourth proportional to 863.21, 1,294.05 and 315.29 is: 472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.21 : 1,294.05 = 315.29 : x
  2. Step 2: Convert to fraction form
    863.21/1,294.05 = 315.29/x
  3. Step 3: Cross multiply
    863.21x = 1,294.05 × 315.29
  4. Step 4: Simplify right side
    863.21x = 408,001.02
  5. Step 5: Solve for x
    x = 408,001.02/863.21
  6. Step 6: Final answer
    x = 472.66

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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.