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Finding the Fourth Proportional to 1,492.21, 2,238.42 and 396.55

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Solution

The fourth proportional to 1,492.21, 2,238.42 and 396.55 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.21 : 2,238.42 = 396.55 : x
  2. Step 2: Convert to fraction form
    1,492.21/2,238.42 = 396.55/x
  3. Step 3: Cross multiply
    1,492.21x = 2,238.42 × 396.55
  4. Step 4: Simplify right side
    1,492.21x = 887,634.26
  5. Step 5: Solve for x
    x = 887,634.26/1,492.21
  6. Step 6: Final answer
    x = 594.85

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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.