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Finding the Fourth Proportional to 539.76, 809.76 and 419.52

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Solution

The fourth proportional to 539.76, 809.76 and 419.52 is: 629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 809.76 = 419.52 : x
  2. Step 2: Convert to fraction form
    539.76/809.76 = 419.52/x
  3. Step 3: Cross multiply
    539.76x = 809.76 × 419.52
  4. Step 4: Simplify right side
    539.76x = 339,710.52
  5. Step 5: Solve for x
    x = 339,710.52/539.76
  6. Step 6: Final answer
    x = 629.37

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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.