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Finding the Fourth Proportional to 519.71, 780.07 and 433.59

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Solution

The fourth proportional to 519.71, 780.07 and 433.59 is: 650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 780.07 = 433.59 : x
  2. Step 2: Convert to fraction form
    519.71/780.07 = 433.59/x
  3. Step 3: Cross multiply
    519.71x = 780.07 × 433.59
  4. Step 4: Simplify right side
    519.71x = 338,230.55
  5. Step 5: Solve for x
    x = 338,230.55/519.71
  6. Step 6: Final answer
    x = 650.81

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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.