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Finding the Fourth Proportional to 517.89, 779.65 and 396.70

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Solution

The fourth proportional to 517.89, 779.65 and 396.70 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 779.65 = 396.70 : x
  2. Step 2: Convert to fraction form
    517.89/779.65 = 396.70/x
  3. Step 3: Cross multiply
    517.89x = 779.65 × 396.70
  4. Step 4: Simplify right side
    517.89x = 309,285.33
  5. Step 5: Solve for x
    x = 309,285.33/517.89
  6. Step 6: Final answer
    x = 597.20

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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.