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Finding the Fourth Proportional to 863.64, 1,294.31 and 315.30

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Solution

The fourth proportional to 863.64, 1,294.31 and 315.30 is: 472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.64 : 1,294.31 = 315.30 : x
  2. Step 2: Convert to fraction form
    863.64/1,294.31 = 315.30/x
  3. Step 3: Cross multiply
    863.64x = 1,294.31 × 315.30
  4. Step 4: Simplify right side
    863.64x = 408,094.37
  5. Step 5: Solve for x
    x = 408,094.37/863.64
  6. Step 6: Final answer
    x = 472.53

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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.