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Finding the Fourth Proportional to 1,122, 1,682.74 and 428.42

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Solution

The fourth proportional to 1,122, 1,682.74 and 428.42 is: 642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122 : 1,682.74 = 428.42 : x
  2. Step 2: Convert to fraction form
    1,122/1,682.74 = 428.42/x
  3. Step 3: Cross multiply
    1,122x = 1,682.74 × 428.42
  4. Step 4: Simplify right side
    1,122x = 720,919.47
  5. Step 5: Solve for x
    x = 720,919.47/1,122
  6. Step 6: Final answer
    x = 642.53

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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.