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Finding the Fourth Proportional to 1,262.78, 1,892.33 and 712.15

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Solution

The fourth proportional to 1,262.78, 1,892.33 and 712.15 is: 1,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.78 : 1,892.33 = 712.15 : x
  2. Step 2: Convert to fraction form
    1,262.78/1,892.33 = 712.15/x
  3. Step 3: Cross multiply
    1,262.78x = 1,892.33 × 712.15
  4. Step 4: Simplify right side
    1,262.78x = 1,347,617.19
  5. Step 5: Solve for x
    x = 1,347,617.19/1,262.78
  6. Step 6: Final answer
    x = 1,067.18

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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.