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Finding the Fourth Proportional to 2,159.37, 3,239.06 and 599.31

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Solution

The fourth proportional to 2,159.37, 3,239.06 and 599.31 is: 898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.37 : 3,239.06 = 599.31 : x
  2. Step 2: Convert to fraction form
    2,159.37/3,239.06 = 599.31/x
  3. Step 3: Cross multiply
    2,159.37x = 3,239.06 × 599.31
  4. Step 4: Simplify right side
    2,159.37x = 1,941,198.05
  5. Step 5: Solve for x
    x = 1,941,198.05/2,159.37
  6. Step 6: Final answer
    x = 898.97

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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.