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Finding the Fourth Proportional to 863.12, 1,293.53 and 423.70

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Solution

The fourth proportional to 863.12, 1,293.53 and 423.70 is: 634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.12 : 1,293.53 = 423.70 : x
  2. Step 2: Convert to fraction form
    863.12/1,293.53 = 423.70/x
  3. Step 3: Cross multiply
    863.12x = 1,293.53 × 423.70
  4. Step 4: Simplify right side
    863.12x = 548,068.66
  5. Step 5: Solve for x
    x = 548,068.66/863.12
  6. Step 6: Final answer
    x = 634.99

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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.