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Finding the Fourth Proportional to 743.26, 1,114.20 and 280.72

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Solution

The fourth proportional to 743.26, 1,114.20 and 280.72 is: 420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.26 : 1,114.20 = 280.72 : x
  2. Step 2: Convert to fraction form
    743.26/1,114.20 = 280.72/x
  3. Step 3: Cross multiply
    743.26x = 1,114.20 × 280.72
  4. Step 4: Simplify right side
    743.26x = 312,778.22
  5. Step 5: Solve for x
    x = 312,778.22/743.26
  6. Step 6: Final answer
    x = 420.82

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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.