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Finding the Fourth Proportional to 1,482.38, 2,221.90 and 750.41

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Solution

The fourth proportional to 1,482.38, 2,221.90 and 750.41 is: 1,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.38 : 2,221.90 = 750.41 : x
  2. Step 2: Convert to fraction form
    1,482.38/2,221.90 = 750.41/x
  3. Step 3: Cross multiply
    1,482.38x = 2,221.90 × 750.41
  4. Step 4: Simplify right side
    1,482.38x = 1,667,343.82
  5. Step 5: Solve for x
    x = 1,667,343.82/1,482.38
  6. Step 6: Final answer
    x = 1,124.77

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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.