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Finding the Fourth Proportional to 1,399.72, 2,099.70 and 425.83

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Solution

The fourth proportional to 1,399.72, 2,099.70 and 425.83 is: 638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.72 : 2,099.70 = 425.83 : x
  2. Step 2: Convert to fraction form
    1,399.72/2,099.70 = 425.83/x
  3. Step 3: Cross multiply
    1,399.72x = 2,099.70 × 425.83
  4. Step 4: Simplify right side
    1,399.72x = 894,115.25
  5. Step 5: Solve for x
    x = 894,115.25/1,399.72
  6. Step 6: Final answer
    x = 638.78

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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.