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Finding the Fourth Proportional to 968.44, 1,336.38 and 564.79

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Solution

The fourth proportional to 968.44, 1,336.38 and 564.79 is: 779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.44 : 1,336.38 = 564.79 : x
  2. Step 2: Convert to fraction form
    968.44/1,336.38 = 564.79/x
  3. Step 3: Cross multiply
    968.44x = 1,336.38 × 564.79
  4. Step 4: Simplify right side
    968.44x = 754,774.06
  5. Step 5: Solve for x
    x = 754,774.06/968.44
  6. Step 6: Final answer
    x = 779.37

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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.