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Finding the Fourth Proportional to 1,262.86, 1,893.98 and 741.02

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Solution

The fourth proportional to 1,262.86, 1,893.98 and 741.02 is: 1,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.86 : 1,893.98 = 741.02 : x
  2. Step 2: Convert to fraction form
    1,262.86/1,893.98 = 741.02/x
  3. Step 3: Cross multiply
    1,262.86x = 1,893.98 × 741.02
  4. Step 4: Simplify right side
    1,262.86x = 1,403,469.44
  5. Step 5: Solve for x
    x = 1,403,469.44/1,262.86
  6. Step 6: Final answer
    x = 1,111.34

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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.