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Finding the Fourth Proportional to 749.29, 1,124.42 and 743.51

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Solution

The fourth proportional to 749.29, 1,124.42 and 743.51 is: 1,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.29 : 1,124.42 = 743.51 : x
  2. Step 2: Convert to fraction form
    749.29/1,124.42 = 743.51/x
  3. Step 3: Cross multiply
    749.29x = 1,124.42 × 743.51
  4. Step 4: Simplify right side
    749.29x = 836,017.51
  5. Step 5: Solve for x
    x = 836,017.51/749.29
  6. Step 6: Final answer
    x = 1,115.75

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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.