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Finding the Fourth Proportional to 1,026.81, 1,540.56 and 333.51

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Solution

The fourth proportional to 1,026.81, 1,540.56 and 333.51 is: 500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.81 : 1,540.56 = 333.51 : x
  2. Step 2: Convert to fraction form
    1,026.81/1,540.56 = 333.51/x
  3. Step 3: Cross multiply
    1,026.81x = 1,540.56 × 333.51
  4. Step 4: Simplify right side
    1,026.81x = 513,787.64
  5. Step 5: Solve for x
    x = 513,787.64/1,026.81
  6. Step 6: Final answer
    x = 500.37

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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.