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Finding the Fourth Proportional to 1,399.07, 2,098.28 and 618.65

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Solution

The fourth proportional to 1,399.07, 2,098.28 and 618.65 is: 927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.07 : 2,098.28 = 618.65 : x
  2. Step 2: Convert to fraction form
    1,399.07/2,098.28 = 618.65/x
  3. Step 3: Cross multiply
    1,399.07x = 2,098.28 × 618.65
  4. Step 4: Simplify right side
    1,399.07x = 1,298,095.68
  5. Step 5: Solve for x
    x = 1,298,095.68/1,399.07
  6. Step 6: Final answer
    x = 927.83

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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.