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Finding the Fourth Proportional to 1,425.81, 2,138.72 and 399.81

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Solution

The fourth proportional to 1,425.81, 2,138.72 and 399.81 is: 599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.81 : 2,138.72 = 399.81 : x
  2. Step 2: Convert to fraction form
    1,425.81/2,138.72 = 399.81/x
  3. Step 3: Cross multiply
    1,425.81x = 2,138.72 × 399.81
  4. Step 4: Simplify right side
    1,425.81x = 855,081.64
  5. Step 5: Solve for x
    x = 855,081.64/1,425.81
  6. Step 6: Final answer
    x = 599.72

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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.