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Finding the Fourth Proportional to 749.56, 1,123.43 and 662.08

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Solution

The fourth proportional to 749.56, 1,123.43 and 662.08 is: 992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.56 : 1,123.43 = 662.08 : x
  2. Step 2: Convert to fraction form
    749.56/1,123.43 = 662.08/x
  3. Step 3: Cross multiply
    749.56x = 1,123.43 × 662.08
  4. Step 4: Simplify right side
    749.56x = 743,794.92
  5. Step 5: Solve for x
    x = 743,794.92/749.56
  6. Step 6: Final answer
    x = 992.32

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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.