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Finding the Fourth Proportional to 539.99, 808.01 and 467.71

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Solution

The fourth proportional to 539.99, 808.01 and 467.71 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.99 : 808.01 = 467.71 : x
  2. Step 2: Convert to fraction form
    539.99/808.01 = 467.71/x
  3. Step 3: Cross multiply
    539.99x = 808.01 × 467.71
  4. Step 4: Simplify right side
    539.99x = 377,910.00
  5. Step 5: Solve for x
    x = 377,910.00/539.99
  6. Step 6: Final answer
    x = 699.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.