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Finding the Fourth Proportional to 1,173.77, 1,619.49 and 795.85

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Solution

The fourth proportional to 1,173.77, 1,619.49 and 795.85 is: 1,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.77 : 1,619.49 = 795.85 : x
  2. Step 2: Convert to fraction form
    1,173.77/1,619.49 = 795.85/x
  3. Step 3: Cross multiply
    1,173.77x = 1,619.49 × 795.85
  4. Step 4: Simplify right side
    1,173.77x = 1,288,871.12
  5. Step 5: Solve for x
    x = 1,288,871.12/1,173.77
  6. Step 6: Final answer
    x = 1,098.06

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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.