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Finding the Fourth Proportional to 1,262.97, 1,893.85 and 736.07

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Solution

The fourth proportional to 1,262.97, 1,893.85 and 736.07 is: 1,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.97 : 1,893.85 = 736.07 : x
  2. Step 2: Convert to fraction form
    1,262.97/1,893.85 = 736.07/x
  3. Step 3: Cross multiply
    1,262.97x = 1,893.85 × 736.07
  4. Step 4: Simplify right side
    1,262.97x = 1,393,994.86
  5. Step 5: Solve for x
    x = 1,393,994.86/1,262.97
  6. Step 6: Final answer
    x = 1,103.74

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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.