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Finding the Fourth Proportional to 1,492.27, 2,238.51 and 396.63

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Solution

The fourth proportional to 1,492.27, 2,238.51 and 396.63 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.27 : 2,238.51 = 396.63 : x
  2. Step 2: Convert to fraction form
    1,492.27/2,238.51 = 396.63/x
  3. Step 3: Cross multiply
    1,492.27x = 2,238.51 × 396.63
  4. Step 4: Simplify right side
    1,492.27x = 887,860.22
  5. Step 5: Solve for x
    x = 887,860.22/1,492.27
  6. Step 6: Final answer
    x = 594.97

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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.