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Finding the Fourth Proportional to 1,359.80, 2,041.97 and 842.81

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Solution

The fourth proportional to 1,359.80, 2,041.97 and 842.81 is: 1,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.80 : 2,041.97 = 842.81 : x
  2. Step 2: Convert to fraction form
    1,359.80/2,041.97 = 842.81/x
  3. Step 3: Cross multiply
    1,359.80x = 2,041.97 × 842.81
  4. Step 4: Simplify right side
    1,359.80x = 1,720,992.74
  5. Step 5: Solve for x
    x = 1,720,992.74/1,359.80
  6. Step 6: Final answer
    x = 1,265.62

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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.