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Finding the Fourth Proportional to 539.77, 809.63 and 293.09

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Solution

The fourth proportional to 539.77, 809.63 and 293.09 is: 439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.77 : 809.63 = 293.09 : x
  2. Step 2: Convert to fraction form
    539.77/809.63 = 293.09/x
  3. Step 3: Cross multiply
    539.77x = 809.63 × 293.09
  4. Step 4: Simplify right side
    539.77x = 237,294.46
  5. Step 5: Solve for x
    x = 237,294.46/539.77
  6. Step 6: Final answer
    x = 439.62

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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.