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Finding the Fourth Proportional to 519.89, 774.87 and 490.70

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Solution

The fourth proportional to 519.89, 774.87 and 490.70 is: 731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.89 : 774.87 = 490.70 : x
  2. Step 2: Convert to fraction form
    519.89/774.87 = 490.70/x
  3. Step 3: Cross multiply
    519.89x = 774.87 × 490.70
  4. Step 4: Simplify right side
    519.89x = 380,224.83
  5. Step 5: Solve for x
    x = 380,224.83/519.89
  6. Step 6: Final answer
    x = 731.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.