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Finding the Fourth Proportional to 1,019.62, 1,529.43 and 326.28

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Solution

The fourth proportional to 1,019.62, 1,529.43 and 326.28 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.62 : 1,529.43 = 326.28 : x
  2. Step 2: Convert to fraction form
    1,019.62/1,529.43 = 326.28/x
  3. Step 3: Cross multiply
    1,019.62x = 1,529.43 × 326.28
  4. Step 4: Simplify right side
    1,019.62x = 499,022.42
  5. Step 5: Solve for x
    x = 499,022.42/1,019.62
  6. Step 6: Final answer
    x = 489.42

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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.