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Finding the Fourth Proportional to 979.39, 1,350.98 and 783.91

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Solution

The fourth proportional to 979.39, 1,350.98 and 783.91 is: 1,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.39 : 1,350.98 = 783.91 : x
  2. Step 2: Convert to fraction form
    979.39/1,350.98 = 783.91/x
  3. Step 3: Cross multiply
    979.39x = 1,350.98 × 783.91
  4. Step 4: Simplify right side
    979.39x = 1,059,042.81
  5. Step 5: Solve for x
    x = 1,059,042.81/979.39
  6. Step 6: Final answer
    x = 1,081.33

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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.