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Finding the Fourth Proportional to 1,598.27, 2,206 and 935.18

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Solution

The fourth proportional to 1,598.27, 2,206 and 935.18 is: 1,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.27 : 2,206 = 935.18 : x
  2. Step 2: Convert to fraction form
    1,598.27/2,206 = 935.18/x
  3. Step 3: Cross multiply
    1,598.27x = 2,206 × 935.18
  4. Step 4: Simplify right side
    1,598.27x = 2,063,007.08
  5. Step 5: Solve for x
    x = 2,063,007.08/1,598.27
  6. Step 6: Final answer
    x = 1,290.78

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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.