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Finding the Fourth Proportional to 1,399.38, 2,098.62 and 425.16

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Solution

The fourth proportional to 1,399.38, 2,098.62 and 425.16 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.38 : 2,098.62 = 425.16 : x
  2. Step 2: Convert to fraction form
    1,399.38/2,098.62 = 425.16/x
  3. Step 3: Cross multiply
    1,399.38x = 2,098.62 × 425.16
  4. Step 4: Simplify right side
    1,399.38x = 892,249.28
  5. Step 5: Solve for x
    x = 892,249.28/1,399.38
  6. Step 6: Final answer
    x = 637.60

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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.