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Finding the Fourth Proportional to 979.56, 1,349.26 and 822.02

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Solution

The fourth proportional to 979.56, 1,349.26 and 822.02 is: 1,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.56 : 1,349.26 = 822.02 : x
  2. Step 2: Convert to fraction form
    979.56/1,349.26 = 822.02/x
  3. Step 3: Cross multiply
    979.56x = 1,349.26 × 822.02
  4. Step 4: Simplify right side
    979.56x = 1,109,109.90
  5. Step 5: Solve for x
    x = 1,109,109.90/979.56
  6. Step 6: Final answer
    x = 1,132.25

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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.