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Finding the Fourth Proportional to 863.49, 1,295.05 and 278.54

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Solution

The fourth proportional to 863.49, 1,295.05 and 278.54 is: 417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.49 : 1,295.05 = 278.54 : x
  2. Step 2: Convert to fraction form
    863.49/1,295.05 = 278.54/x
  3. Step 3: Cross multiply
    863.49x = 1,295.05 × 278.54
  4. Step 4: Simplify right side
    863.49x = 360,725.77
  5. Step 5: Solve for x
    x = 360,725.77/863.49
  6. Step 6: Final answer
    x = 417.76

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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.