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Finding the Fourth Proportional to 863.70, 1,295.19 and 350.34

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Solution

The fourth proportional to 863.70, 1,295.19 and 350.34 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.70 : 1,295.19 = 350.34 : x
  2. Step 2: Convert to fraction form
    863.70/1,295.19 = 350.34/x
  3. Step 3: Cross multiply
    863.70x = 1,295.19 × 350.34
  4. Step 4: Simplify right side
    863.70x = 453,756.86
  5. Step 5: Solve for x
    x = 453,756.86/863.70
  6. Step 6: Final answer
    x = 525.36

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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.