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Finding the Fourth Proportional to 641.98, 958.32 and 564.13

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Solution

The fourth proportional to 641.98, 958.32 and 564.13 is: 842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 958.32 = 564.13 : x
  2. Step 2: Convert to fraction form
    641.98/958.32 = 564.13/x
  3. Step 3: Cross multiply
    641.98x = 958.32 × 564.13
  4. Step 4: Simplify right side
    641.98x = 540,618.47
  5. Step 5: Solve for x
    x = 540,618.47/641.98
  6. Step 6: Final answer
    x = 842.11

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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.