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Finding the Fourth Proportional to 1,019.38, 1,529.07 and 249.88

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Solution

The fourth proportional to 1,019.38, 1,529.07 and 249.88 is: 374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.38 : 1,529.07 = 249.88 : x
  2. Step 2: Convert to fraction form
    1,019.38/1,529.07 = 249.88/x
  3. Step 3: Cross multiply
    1,019.38x = 1,529.07 × 249.88
  4. Step 4: Simplify right side
    1,019.38x = 382,076.37
  5. Step 5: Solve for x
    x = 382,076.37/1,019.38
  6. Step 6: Final answer
    x = 374.81

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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.