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Finding the Fourth Proportional to 519.30, 778.86 and 433.17

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Solution

The fourth proportional to 519.30, 778.86 and 433.17 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 778.86 = 433.17 : x
  2. Step 2: Convert to fraction form
    519.30/778.86 = 433.17/x
  3. Step 3: Cross multiply
    519.30x = 778.86 × 433.17
  4. Step 4: Simplify right side
    519.30x = 337,378.79
  5. Step 5: Solve for x
    x = 337,378.79/519.30
  6. Step 6: Final answer
    x = 649.68

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Similar ratio
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1.5x scale

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.