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Finding the Fourth Proportional to 539.77, 808.12 and 344.28

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Solution

The fourth proportional to 539.77, 808.12 and 344.28 is: 515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.77 : 808.12 = 344.28 : x
  2. Step 2: Convert to fraction form
    539.77/808.12 = 344.28/x
  3. Step 3: Cross multiply
    539.77x = 808.12 × 344.28
  4. Step 4: Simplify right side
    539.77x = 278,219.55
  5. Step 5: Solve for x
    x = 278,219.55/539.77
  6. Step 6: Final answer
    x = 515.44

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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.