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Finding the Fourth Proportional to 863.90, 1,296.06 and 247.59

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Solution

The fourth proportional to 863.90, 1,296.06 and 247.59 is: 371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.90 : 1,296.06 = 247.59 : x
  2. Step 2: Convert to fraction form
    863.90/1,296.06 = 247.59/x
  3. Step 3: Cross multiply
    863.90x = 1,296.06 × 247.59
  4. Step 4: Simplify right side
    863.90x = 320,891.50
  5. Step 5: Solve for x
    x = 320,891.50/863.90
  6. Step 6: Final answer
    x = 371.45

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1.5x scale

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.