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Finding the Fourth Proportional to 749.38, 1,122.33 and 723.43

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Solution

The fourth proportional to 749.38, 1,122.33 and 723.43 is: 1,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.38 : 1,122.33 = 723.43 : x
  2. Step 2: Convert to fraction form
    749.38/1,122.33 = 723.43/x
  3. Step 3: Cross multiply
    749.38x = 1,122.33 × 723.43
  4. Step 4: Simplify right side
    749.38x = 811,927.19
  5. Step 5: Solve for x
    x = 811,927.19/749.38
  6. Step 6: Final answer
    x = 1,083.47

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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.