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Finding the Fourth Proportional to 1,492.43, 2,238.37 and 567.78

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Solution

The fourth proportional to 1,492.43, 2,238.37 and 567.78 is: 851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.43 : 2,238.37 = 567.78 : x
  2. Step 2: Convert to fraction form
    1,492.43/2,238.37 = 567.78/x
  3. Step 3: Cross multiply
    1,492.43x = 2,238.37 × 567.78
  4. Step 4: Simplify right side
    1,492.43x = 1,270,891.91
  5. Step 5: Solve for x
    x = 1,270,891.91/1,492.43
  6. Step 6: Final answer
    x = 851.56

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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.