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Finding the Fourth Proportional to 560.82, 774.09 and 350.88

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Solution

The fourth proportional to 560.82, 774.09 and 350.88 is: 484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.82 : 774.09 = 350.88 : x
  2. Step 2: Convert to fraction form
    560.82/774.09 = 350.88/x
  3. Step 3: Cross multiply
    560.82x = 774.09 × 350.88
  4. Step 4: Simplify right side
    560.82x = 271,614.15
  5. Step 5: Solve for x
    x = 271,614.15/560.82
  6. Step 6: Final answer
    x = 484.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.