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Finding the Fourth Proportional to 521.01, 777.17 and 486.09

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Solution

The fourth proportional to 521.01, 777.17 and 486.09 is: 725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.01 : 777.17 = 486.09 : x
  2. Step 2: Convert to fraction form
    521.01/777.17 = 486.09/x
  3. Step 3: Cross multiply
    521.01x = 777.17 × 486.09
  4. Step 4: Simplify right side
    521.01x = 377,775.78
  5. Step 5: Solve for x
    x = 377,775.78/521.01
  6. Step 6: Final answer
    x = 725.08

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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.