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Finding the Fourth Proportional to 1,249.98, 1,874.75 and 428.25

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Solution

The fourth proportional to 1,249.98, 1,874.75 and 428.25 is: 642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.98 : 1,874.75 = 428.25 : x
  2. Step 2: Convert to fraction form
    1,249.98/1,874.75 = 428.25/x
  3. Step 3: Cross multiply
    1,249.98x = 1,874.75 × 428.25
  4. Step 4: Simplify right side
    1,249.98x = 802,859.55
  5. Step 5: Solve for x
    x = 802,859.55/1,249.98
  6. Step 6: Final answer
    x = 642.30

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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.