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Finding the Fourth Proportional to 1,439.91, 2,159.87 and 399.87

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Solution

The fourth proportional to 1,439.91, 2,159.87 and 399.87 is: 599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.91 : 2,159.87 = 399.87 : x
  2. Step 2: Convert to fraction form
    1,439.91/2,159.87 = 399.87/x
  3. Step 3: Cross multiply
    1,439.91x = 2,159.87 × 399.87
  4. Step 4: Simplify right side
    1,439.91x = 863,665.22
  5. Step 5: Solve for x
    x = 863,665.22/1,439.91
  6. Step 6: Final answer
    x = 599.81

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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.