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Finding the Fourth Proportional to 564.31, 778.03 and 364.80

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Solution

The fourth proportional to 564.31, 778.03 and 364.80 is: 502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.31 : 778.03 = 364.80 : x
  2. Step 2: Convert to fraction form
    564.31/778.03 = 364.80/x
  3. Step 3: Cross multiply
    564.31x = 778.03 × 364.80
  4. Step 4: Simplify right side
    564.31x = 283,825.34
  5. Step 5: Solve for x
    x = 283,825.34/564.31
  6. Step 6: Final answer
    x = 502.96

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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.