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Finding the Fourth Proportional to 1,439.62, 2,159.06 and 399.71

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Solution

The fourth proportional to 1,439.62, 2,159.06 and 399.71 is: 599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.62 : 2,159.06 = 399.71 : x
  2. Step 2: Convert to fraction form
    1,439.62/2,159.06 = 399.71/x
  3. Step 3: Cross multiply
    1,439.62x = 2,159.06 × 399.71
  4. Step 4: Simplify right side
    1,439.62x = 863,001.27
  5. Step 5: Solve for x
    x = 863,001.27/1,439.62
  6. Step 6: Final answer
    x = 599.47

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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.