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Finding the Fourth Proportional to 979.23, 1,346.70 and 854.97

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Solution

The fourth proportional to 979.23, 1,346.70 and 854.97 is: 1,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.23 : 1,346.70 = 854.97 : x
  2. Step 2: Convert to fraction form
    979.23/1,346.70 = 854.97/x
  3. Step 3: Cross multiply
    979.23x = 1,346.70 × 854.97
  4. Step 4: Simplify right side
    979.23x = 1,151,388.10
  5. Step 5: Solve for x
    x = 1,151,388.10/979.23
  6. Step 6: Final answer
    x = 1,175.81

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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.