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Finding the Fourth Proportional to 539.09, 808.23 and 384.99

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Solution

The fourth proportional to 539.09, 808.23 and 384.99 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.09 : 808.23 = 384.99 : x
  2. Step 2: Convert to fraction form
    539.09/808.23 = 384.99/x
  3. Step 3: Cross multiply
    539.09x = 808.23 × 384.99
  4. Step 4: Simplify right side
    539.09x = 311,160.47
  5. Step 5: Solve for x
    x = 311,160.47/539.09
  6. Step 6: Final answer
    x = 577.20

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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.