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Finding the Fourth Proportional to 863.80, 1,295.62 and 452.81

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Solution

The fourth proportional to 863.80, 1,295.62 and 452.81 is: 679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.80 : 1,295.62 = 452.81 : x
  2. Step 2: Convert to fraction form
    863.80/1,295.62 = 452.81/x
  3. Step 3: Cross multiply
    863.80x = 1,295.62 × 452.81
  4. Step 4: Simplify right side
    863.80x = 586,671.80
  5. Step 5: Solve for x
    x = 586,671.80/863.80
  6. Step 6: Final answer
    x = 679.18

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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.