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Finding the Fourth Proportional to 979.22, 1,349.81 and 605.50

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Solution

The fourth proportional to 979.22, 1,349.81 and 605.50 is: 834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.22 : 1,349.81 = 605.50 : x
  2. Step 2: Convert to fraction form
    979.22/1,349.81 = 605.50/x
  3. Step 3: Cross multiply
    979.22x = 1,349.81 × 605.50
  4. Step 4: Simplify right side
    979.22x = 817,309.96
  5. Step 5: Solve for x
    x = 817,309.96/979.22
  6. Step 6: Final answer
    x = 834.65

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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.