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Finding the Fourth Proportional to 1,249.64, 1,874.56 and 428.10

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Solution

The fourth proportional to 1,249.64, 1,874.56 and 428.10 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.64 : 1,874.56 = 428.10 : x
  2. Step 2: Convert to fraction form
    1,249.64/1,874.56 = 428.10/x
  3. Step 3: Cross multiply
    1,249.64x = 1,874.56 × 428.10
  4. Step 4: Simplify right side
    1,249.64x = 802,499.14
  5. Step 5: Solve for x
    x = 802,499.14/1,249.64
  6. Step 6: Final answer
    x = 642.18

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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.