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Finding the Fourth Proportional to 564.72, 781.03 and 505.61

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Solution

The fourth proportional to 564.72, 781.03 and 505.61 is: 699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 781.03 = 505.61 : x
  2. Step 2: Convert to fraction form
    564.72/781.03 = 505.61/x
  3. Step 3: Cross multiply
    564.72x = 781.03 × 505.61
  4. Step 4: Simplify right side
    564.72x = 394,893.39
  5. Step 5: Solve for x
    x = 394,893.39/564.72
  6. Step 6: Final answer
    x = 699.27

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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.