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Finding the Fourth Proportional to 521.91, 785.77 and 406.98

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Solution

The fourth proportional to 521.91, 785.77 and 406.98 is: 612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 785.77 = 406.98 : x
  2. Step 2: Convert to fraction form
    521.91/785.77 = 406.98/x
  3. Step 3: Cross multiply
    521.91x = 785.77 × 406.98
  4. Step 4: Simplify right side
    521.91x = 319,791.66
  5. Step 5: Solve for x
    x = 319,791.66/521.91
  6. Step 6: Final answer
    x = 612.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.