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Finding the Fourth Proportional to 1,245.38, 1,868.31 and 379.82

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Solution

The fourth proportional to 1,245.38, 1,868.31 and 379.82 is: 569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.38 : 1,868.31 = 379.82 : x
  2. Step 2: Convert to fraction form
    1,245.38/1,868.31 = 379.82/x
  3. Step 3: Cross multiply
    1,245.38x = 1,868.31 × 379.82
  4. Step 4: Simplify right side
    1,245.38x = 709,621.50
  5. Step 5: Solve for x
    x = 709,621.50/1,245.38
  6. Step 6: Final answer
    x = 569.80

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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.