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Finding the Fourth Proportional to 559.14, 774.83 and 552.18

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Solution

The fourth proportional to 559.14, 774.83 and 552.18 is: 765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.14 : 774.83 = 552.18 : x
  2. Step 2: Convert to fraction form
    559.14/774.83 = 552.18/x
  3. Step 3: Cross multiply
    559.14x = 774.83 × 552.18
  4. Step 4: Simplify right side
    559.14x = 427,842.87
  5. Step 5: Solve for x
    x = 427,842.87/559.14
  6. Step 6: Final answer
    x = 765.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.