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Finding the Fourth Proportional to 564.89, 779.86 and 379.36

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Solution

The fourth proportional to 564.89, 779.86 and 379.36 is: 523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 779.86 = 379.36 : x
  2. Step 2: Convert to fraction form
    564.89/779.86 = 379.36/x
  3. Step 3: Cross multiply
    564.89x = 779.86 × 379.36
  4. Step 4: Simplify right side
    564.89x = 295,851.08
  5. Step 5: Solve for x
    x = 295,851.08/564.89
  6. Step 6: Final answer
    x = 523.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.