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Finding the Fourth Proportional to 1,269.99, 1,908.77 and 861.75

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Solution

The fourth proportional to 1,269.99, 1,908.77 and 861.75 is: 1,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.99 : 1,908.77 = 861.75 : x
  2. Step 2: Convert to fraction form
    1,269.99/1,908.77 = 861.75/x
  3. Step 3: Cross multiply
    1,269.99x = 1,908.77 × 861.75
  4. Step 4: Simplify right side
    1,269.99x = 1,644,878.24
  5. Step 5: Solve for x
    x = 1,644,878.24/1,269.99
  6. Step 6: Final answer
    x = 1,295.19

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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.