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Finding the Fourth Proportional to 641.21, 959.52 and 564.66

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Solution

The fourth proportional to 641.21, 959.52 and 564.66 is: 844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.21 : 959.52 = 564.66 : x
  2. Step 2: Convert to fraction form
    641.21/959.52 = 564.66/x
  3. Step 3: Cross multiply
    641.21x = 959.52 × 564.66
  4. Step 4: Simplify right side
    641.21x = 541,802.56
  5. Step 5: Solve for x
    x = 541,802.56/641.21
  6. Step 6: Final answer
    x = 844.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.