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Finding the Fourth Proportional to 1,249.86, 1,874.78 and 325.42

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Solution

The fourth proportional to 1,249.86, 1,874.78 and 325.42 is: 488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.86 : 1,874.78 = 325.42 : x
  2. Step 2: Convert to fraction form
    1,249.86/1,874.78 = 325.42/x
  3. Step 3: Cross multiply
    1,249.86x = 1,874.78 × 325.42
  4. Step 4: Simplify right side
    1,249.86x = 610,085.81
  5. Step 5: Solve for x
    x = 610,085.81/1,249.86
  6. Step 6: Final answer
    x = 488.12

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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.