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Finding the Fourth Proportional to 1,420.74, 1,960.61 and 799.74

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Solution

The fourth proportional to 1,420.74, 1,960.61 and 799.74 is: 1,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.74 : 1,960.61 = 799.74 : x
  2. Step 2: Convert to fraction form
    1,420.74/1,960.61 = 799.74/x
  3. Step 3: Cross multiply
    1,420.74x = 1,960.61 × 799.74
  4. Step 4: Simplify right side
    1,420.74x = 1,567,974.24
  5. Step 5: Solve for x
    x = 1,567,974.24/1,420.74
  6. Step 6: Final answer
    x = 1,103.63

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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.