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Finding the Fourth Proportional to 863.30, 1,295.21 and 517.02

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Solution

The fourth proportional to 863.30, 1,295.21 and 517.02 is: 775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.30 : 1,295.21 = 517.02 : x
  2. Step 2: Convert to fraction form
    863.30/1,295.21 = 517.02/x
  3. Step 3: Cross multiply
    863.30x = 1,295.21 × 517.02
  4. Step 4: Simplify right side
    863.30x = 669,649.47
  5. Step 5: Solve for x
    x = 669,649.47/863.30
  6. Step 6: Final answer
    x = 775.69

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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.