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Finding the Fourth Proportional to 1,492.32, 2,238.28 and 396.68

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Solution

The fourth proportional to 1,492.32, 2,238.28 and 396.68 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.32 : 2,238.28 = 396.68 : x
  2. Step 2: Convert to fraction form
    1,492.32/2,238.28 = 396.68/x
  3. Step 3: Cross multiply
    1,492.32x = 2,238.28 × 396.68
  4. Step 4: Simplify right side
    1,492.32x = 887,880.91
  5. Step 5: Solve for x
    x = 887,880.91/1,492.32
  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.