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Finding the Fourth Proportional to 519.97, 779.81 and 288.99

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Solution

The fourth proportional to 519.97, 779.81 and 288.99 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.97 : 779.81 = 288.99 : x
  2. Step 2: Convert to fraction form
    519.97/779.81 = 288.99/x
  3. Step 3: Cross multiply
    519.97x = 779.81 × 288.99
  4. Step 4: Simplify right side
    519.97x = 225,357.29
  5. Step 5: Solve for x
    x = 225,357.29/519.97
  6. Step 6: Final answer
    x = 433.40

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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.