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Finding the Fourth Proportional to 517.64, 779.33 and 356.38

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Solution

The fourth proportional to 517.64, 779.33 and 356.38 is: 536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 779.33 = 356.38 : x
  2. Step 2: Convert to fraction form
    517.64/779.33 = 356.38/x
  3. Step 3: Cross multiply
    517.64x = 779.33 × 356.38
  4. Step 4: Simplify right side
    517.64x = 277,736.57
  5. Step 5: Solve for x
    x = 277,736.57/517.64
  6. Step 6: Final answer
    x = 536.55

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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.