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Finding the Fourth Proportional to 566.12, 781.09 and 344.92

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Solution

The fourth proportional to 566.12, 781.09 and 344.92 is: 475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.12 : 781.09 = 344.92 : x
  2. Step 2: Convert to fraction form
    566.12/781.09 = 344.92/x
  3. Step 3: Cross multiply
    566.12x = 781.09 × 344.92
  4. Step 4: Simplify right side
    566.12x = 269,413.56
  5. Step 5: Solve for x
    x = 269,413.56/566.12
  6. Step 6: Final answer
    x = 475.89

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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.