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Finding the Fourth Proportional to 519.64, 783.37 and 484.39

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Solution

The fourth proportional to 519.64, 783.37 and 484.39 is: 730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.64 : 783.37 = 484.39 : x
  2. Step 2: Convert to fraction form
    519.64/783.37 = 484.39/x
  3. Step 3: Cross multiply
    519.64x = 783.37 × 484.39
  4. Step 4: Simplify right side
    519.64x = 379,456.59
  5. Step 5: Solve for x
    x = 379,456.59/519.64
  6. Step 6: Final answer
    x = 730.23

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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.