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Finding the Fourth Proportional to 743.39, 1,114.56 and 281.15

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Solution

The fourth proportional to 743.39, 1,114.56 and 281.15 is: 421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.39 : 1,114.56 = 281.15 : x
  2. Step 2: Convert to fraction form
    743.39/1,114.56 = 281.15/x
  3. Step 3: Cross multiply
    743.39x = 1,114.56 × 281.15
  4. Step 4: Simplify right side
    743.39x = 313,352.97
  5. Step 5: Solve for x
    x = 313,352.97/743.39
  6. Step 6: Final answer
    x = 421.52

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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.