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Finding the Fourth Proportional to 863.15, 1,293.71 and 315.05

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Solution

The fourth proportional to 863.15, 1,293.71 and 315.05 is: 472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.15 : 1,293.71 = 315.05 : x
  2. Step 2: Convert to fraction form
    863.15/1,293.71 = 315.05/x
  3. Step 3: Cross multiply
    863.15x = 1,293.71 × 315.05
  4. Step 4: Simplify right side
    863.15x = 407,575.29
  5. Step 5: Solve for x
    x = 407,575.29/863.15
  6. Step 6: Final answer
    x = 472.20

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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.