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Finding the Fourth Proportional to 564.34, 778.94 and 529.92

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Solution

The fourth proportional to 564.34, 778.94 and 529.92 is: 731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.34 : 778.94 = 529.92 : x
  2. Step 2: Convert to fraction form
    564.34/778.94 = 529.92/x
  3. Step 3: Cross multiply
    564.34x = 778.94 × 529.92
  4. Step 4: Simplify right side
    564.34x = 412,775.88
  5. Step 5: Solve for x
    x = 412,775.88/564.34
  6. Step 6: Final answer
    x = 731.43

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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.