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Finding the Fourth Proportional to 1,599.09, 2,206.92 and 900.48

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Solution

The fourth proportional to 1,599.09, 2,206.92 and 900.48 is: 1,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.09 : 2,206.92 = 900.48 : x
  2. Step 2: Convert to fraction form
    1,599.09/2,206.92 = 900.48/x
  3. Step 3: Cross multiply
    1,599.09x = 2,206.92 × 900.48
  4. Step 4: Simplify right side
    1,599.09x = 1,987,287.32
  5. Step 5: Solve for x
    x = 1,987,287.32/1,599.09
  6. Step 6: Final answer
    x = 1,242.76

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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.