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Finding the Fourth Proportional to 566.41, 781.29 and 409.27

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Solution

The fourth proportional to 566.41, 781.29 and 409.27 is: 564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.41 : 781.29 = 409.27 : x
  2. Step 2: Convert to fraction form
    566.41/781.29 = 409.27/x
  3. Step 3: Cross multiply
    566.41x = 781.29 × 409.27
  4. Step 4: Simplify right side
    566.41x = 319,758.47
  5. Step 5: Solve for x
    x = 319,758.47/566.41
  6. Step 6: Final answer
    x = 564.54

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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.