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Finding the Fourth Proportional to 1,201.41, 1,659.31 and 807.75

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Solution

The fourth proportional to 1,201.41, 1,659.31 and 807.75 is: 1,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.41 : 1,659.31 = 807.75 : x
  2. Step 2: Convert to fraction form
    1,201.41/1,659.31 = 807.75/x
  3. Step 3: Cross multiply
    1,201.41x = 1,659.31 × 807.75
  4. Step 4: Simplify right side
    1,201.41x = 1,340,307.65
  5. Step 5: Solve for x
    x = 1,340,307.65/1,201.41
  6. Step 6: Final answer
    x = 1,115.61

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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.