Home / 1,171.24-1,617.06-822.76

Finding the Fourth Proportional to 1,171.24, 1,617.06 and 822.76

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Solution

The fourth proportional to 1,171.24, 1,617.06 and 822.76 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.24 : 1,617.06 = 822.76 : x
  2. Step 2: Convert to fraction form
    1,171.24/1,617.06 = 822.76/x
  3. Step 3: Cross multiply
    1,171.24x = 1,617.06 × 822.76
  4. Step 4: Simplify right side
    1,171.24x = 1,330,452.29
  5. Step 5: Solve for x
    x = 1,330,452.29/1,171.24
  6. Step 6: Final answer
    x = 1,135.93

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Half scale
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Double scale
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1.5x scale

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.