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Finding the Fourth Proportional to 1,249.44, 1,874.16 and 599.72

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Solution

The fourth proportional to 1,249.44, 1,874.16 and 599.72 is: 899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.44 : 1,874.16 = 599.72 : x
  2. Step 2: Convert to fraction form
    1,249.44/1,874.16 = 599.72/x
  3. Step 3: Cross multiply
    1,249.44x = 1,874.16 × 599.72
  4. Step 4: Simplify right side
    1,249.44x = 1,123,971.24
  5. Step 5: Solve for x
    x = 1,123,971.24/1,249.44
  6. Step 6: Final answer
    x = 899.58

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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.