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Finding the Fourth Proportional to 641.78, 964.82 and 506.46

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Solution

The fourth proportional to 641.78, 964.82 and 506.46 is: 761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.78 : 964.82 = 506.46 : x
  2. Step 2: Convert to fraction form
    641.78/964.82 = 506.46/x
  3. Step 3: Cross multiply
    641.78x = 964.82 × 506.46
  4. Step 4: Simplify right side
    641.78x = 488,644.00
  5. Step 5: Solve for x
    x = 488,644.00/641.78
  6. Step 6: Final answer
    x = 761.39

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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.