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Finding the Fourth Proportional to 743.29, 1,115.06 and 281.11

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Solution

The fourth proportional to 743.29, 1,115.06 and 281.11 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.29 : 1,115.06 = 281.11 : x
  2. Step 2: Convert to fraction form
    743.29/1,115.06 = 281.11/x
  3. Step 3: Cross multiply
    743.29x = 1,115.06 × 281.11
  4. Step 4: Simplify right side
    743.29x = 313,450.32
  5. Step 5: Solve for x
    x = 313,450.32/743.29
  6. Step 6: Final answer
    x = 421.71

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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.