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Finding the Fourth Proportional to 1,309.44, 1,964.19 and 335.55

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Solution

The fourth proportional to 1,309.44, 1,964.19 and 335.55 is: 503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.44 : 1,964.19 = 335.55 : x
  2. Step 2: Convert to fraction form
    1,309.44/1,964.19 = 335.55/x
  3. Step 3: Cross multiply
    1,309.44x = 1,964.19 × 335.55
  4. Step 4: Simplify right side
    1,309.44x = 659,083.95
  5. Step 5: Solve for x
    x = 659,083.95/1,309.44
  6. Step 6: Final answer
    x = 503.33

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1.5x scale

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.