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Finding the Fourth Proportional to 1,265.86, 1,745.50 and 1,079.09

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Solution

The fourth proportional to 1,265.86, 1,745.50 and 1,079.09 is: 1,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.86 : 1,745.50 = 1,079.09 : x
  2. Step 2: Convert to fraction form
    1,265.86/1,745.50 = 1,079.09/x
  3. Step 3: Cross multiply
    1,265.86x = 1,745.50 × 1,079.09
  4. Step 4: Simplify right side
    1,265.86x = 1,883,537.47
  5. Step 5: Solve for x
    x = 1,883,537.47/1,265.86
  6. Step 6: Final answer
    x = 1,487.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.