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Finding the Fourth Proportional to 1,599.94, 2,207.94 and 901.31

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Solution

The fourth proportional to 1,599.94, 2,207.94 and 901.31 is: 1,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.94 : 2,207.94 = 901.31 : x
  2. Step 2: Convert to fraction form
    1,599.94/2,207.94 = 901.31/x
  3. Step 3: Cross multiply
    1,599.94x = 2,207.94 × 901.31
  4. Step 4: Simplify right side
    1,599.94x = 1,990,043.92
  5. Step 5: Solve for x
    x = 1,990,043.92/1,599.94
  6. Step 6: Final answer
    x = 1,243.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.