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Finding the Fourth Proportional to 863.86, 1,295.04 and 418.90

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Solution

The fourth proportional to 863.86, 1,295.04 and 418.90 is: 627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,295.04 = 418.90 : x
  2. Step 2: Convert to fraction form
    863.86/1,295.04 = 418.90/x
  3. Step 3: Cross multiply
    863.86x = 1,295.04 × 418.90
  4. Step 4: Simplify right side
    863.86x = 542,492.26
  5. Step 5: Solve for x
    x = 542,492.26/863.86
  6. Step 6: Final answer
    x = 627.99

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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.