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Finding the Fourth Proportional to 1,269.98, 1,753.05 and 827.99

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Solution

The fourth proportional to 1,269.98, 1,753.05 and 827.99 is: 1,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.98 : 1,753.05 = 827.99 : x
  2. Step 2: Convert to fraction form
    1,269.98/1,753.05 = 827.99/x
  3. Step 3: Cross multiply
    1,269.98x = 1,753.05 × 827.99
  4. Step 4: Simplify right side
    1,269.98x = 1,451,494.96
  5. Step 5: Solve for x
    x = 1,451,494.96/1,269.98
  6. Step 6: Final answer
    x = 1,142.93

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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.