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Finding the Fourth Proportional to 1,026.80, 1,540.42 and 333.41

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Solution

The fourth proportional to 1,026.80, 1,540.42 and 333.41 is: 500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.80 : 1,540.42 = 333.41 : x
  2. Step 2: Convert to fraction form
    1,026.80/1,540.42 = 333.41/x
  3. Step 3: Cross multiply
    1,026.80x = 1,540.42 × 333.41
  4. Step 4: Simplify right side
    1,026.80x = 513,593.73
  5. Step 5: Solve for x
    x = 513,593.73/1,026.80
  6. Step 6: Final answer
    x = 500.19

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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.