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Finding the Fourth Proportional to 521.67, 778.26 and 518.01

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Solution

The fourth proportional to 521.67, 778.26 and 518.01 is: 772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 778.26 = 518.01 : x
  2. Step 2: Convert to fraction form
    521.67/778.26 = 518.01/x
  3. Step 3: Cross multiply
    521.67x = 778.26 × 518.01
  4. Step 4: Simplify right side
    521.67x = 403,146.46
  5. Step 5: Solve for x
    x = 403,146.46/521.67
  6. Step 6: Final answer
    x = 772.80

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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.