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Finding the Fourth Proportional to 1,491.89, 2,237.86 and 451.90

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Solution

The fourth proportional to 1,491.89, 2,237.86 and 451.90 is: 677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.89 : 2,237.86 = 451.90 : x
  2. Step 2: Convert to fraction form
    1,491.89/2,237.86 = 451.90/x
  3. Step 3: Cross multiply
    1,491.89x = 2,237.86 × 451.90
  4. Step 4: Simplify right side
    1,491.89x = 1,011,286.67
  5. Step 5: Solve for x
    x = 1,011,286.67/1,491.89
  6. Step 6: Final answer
    x = 677.86

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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.