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Finding the Fourth Proportional to 519.39, 782.99 and 484.16

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Solution

The fourth proportional to 519.39, 782.99 and 484.16 is: 729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.39 : 782.99 = 484.16 : x
  2. Step 2: Convert to fraction form
    519.39/782.99 = 484.16/x
  3. Step 3: Cross multiply
    519.39x = 782.99 × 484.16
  4. Step 4: Simplify right side
    519.39x = 379,086.10
  5. Step 5: Solve for x
    x = 379,086.10/519.39
  6. Step 6: Final answer
    x = 729.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.