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Finding the Fourth Proportional to 942.12, 1,412.67 and 748.37

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Solution

The fourth proportional to 942.12, 1,412.67 and 748.37 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.12 : 1,412.67 = 748.37 : x
  2. Step 2: Convert to fraction form
    942.12/1,412.67 = 748.37/x
  3. Step 3: Cross multiply
    942.12x = 1,412.67 × 748.37
  4. Step 4: Simplify right side
    942.12x = 1,057,189.98
  5. Step 5: Solve for x
    x = 1,057,189.98/942.12
  6. Step 6: Final answer
    x = 1,122.14

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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.