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Finding the Fourth Proportional to 517.12, 779.24 and 427.83

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Solution

The fourth proportional to 517.12, 779.24 and 427.83 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 779.24 = 427.83 : x
  2. Step 2: Convert to fraction form
    517.12/779.24 = 427.83/x
  3. Step 3: Cross multiply
    517.12x = 779.24 × 427.83
  4. Step 4: Simplify right side
    517.12x = 333,382.25
  5. Step 5: Solve for x
    x = 333,382.25/517.12
  6. Step 6: Final answer
    x = 644.69

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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.