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Finding the Fourth Proportional to 521.10, 778.48 and 405.27

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Solution

The fourth proportional to 521.10, 778.48 and 405.27 is: 605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 778.48 = 405.27 : x
  2. Step 2: Convert to fraction form
    521.10/778.48 = 405.27/x
  3. Step 3: Cross multiply
    521.10x = 778.48 × 405.27
  4. Step 4: Simplify right side
    521.10x = 315,493.58
  5. Step 5: Solve for x
    x = 315,493.58/521.10
  6. Step 6: Final answer
    x = 605.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.