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Finding the Fourth Proportional to 2,698.30, 4,046.91 and 749.98

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Solution

The fourth proportional to 2,698.30, 4,046.91 and 749.98 is: 1,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.30 : 4,046.91 = 749.98 : x
  2. Step 2: Convert to fraction form
    2,698.30/4,046.91 = 749.98/x
  3. Step 3: Cross multiply
    2,698.30x = 4,046.91 × 749.98
  4. Step 4: Simplify right side
    2,698.30x = 3,035,101.56
  5. Step 5: Solve for x
    x = 3,035,101.56/2,698.30
  6. Step 6: Final answer
    x = 1,124.82

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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.