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Finding the Fourth Proportional to 642.70, 959.41 and 564.86

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Solution

The fourth proportional to 642.70, 959.41 and 564.86 is: 843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.70 : 959.41 = 564.86 : x
  2. Step 2: Convert to fraction form
    642.70/959.41 = 564.86/x
  3. Step 3: Cross multiply
    642.70x = 959.41 × 564.86
  4. Step 4: Simplify right side
    642.70x = 541,932.33
  5. Step 5: Solve for x
    x = 541,932.33/642.70
  6. Step 6: Final answer
    x = 843.21

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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.