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Finding the Fourth Proportional to 641.94, 958.26 and 564.09

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Solution

The fourth proportional to 641.94, 958.26 and 564.09 is: 842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 958.26 = 564.09 : x
  2. Step 2: Convert to fraction form
    641.94/958.26 = 564.09/x
  3. Step 3: Cross multiply
    641.94x = 958.26 × 564.09
  4. Step 4: Simplify right side
    641.94x = 540,546.29
  5. Step 5: Solve for x
    x = 540,546.29/641.94
  6. Step 6: Final answer
    x = 842.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.