Home / 1,195.80-1,650.98-822.66

Finding the Fourth Proportional to 1,195.80, 1,650.98 and 822.66

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Solution

The fourth proportional to 1,195.80, 1,650.98 and 822.66 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.80 : 1,650.98 = 822.66 : x
  2. Step 2: Convert to fraction form
    1,195.80/1,650.98 = 822.66/x
  3. Step 3: Cross multiply
    1,195.80x = 1,650.98 × 822.66
  4. Step 4: Simplify right side
    1,195.80x = 1,358,195.21
  5. Step 5: Solve for x
    x = 1,358,195.21/1,195.80
  6. Step 6: Final answer
    x = 1,135.80

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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.