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Finding the Fourth Proportional to 2,211.59, 3,315.32 and 749.72

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Solution

The fourth proportional to 2,211.59, 3,315.32 and 749.72 is: 1,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.59 : 3,315.32 = 749.72 : x
  2. Step 2: Convert to fraction form
    2,211.59/3,315.32 = 749.72/x
  3. Step 3: Cross multiply
    2,211.59x = 3,315.32 × 749.72
  4. Step 4: Simplify right side
    2,211.59x = 2,485,541.39
  5. Step 5: Solve for x
    x = 2,485,541.39/2,211.59
  6. Step 6: Final answer
    x = 1,123.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.