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Finding the Fourth Proportional to 539.19, 806.54 and 429.75

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Solution

The fourth proportional to 539.19, 806.54 and 429.75 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.19 : 806.54 = 429.75 : x
  2. Step 2: Convert to fraction form
    539.19/806.54 = 429.75/x
  3. Step 3: Cross multiply
    539.19x = 806.54 × 429.75
  4. Step 4: Simplify right side
    539.19x = 346,608.42
  5. Step 5: Solve for x
    x = 346,608.42/539.19
  6. Step 6: Final answer
    x = 642.83

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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.