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Finding the Fourth Proportional to 561.11, 774.25 and 312.44

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Solution

The fourth proportional to 561.11, 774.25 and 312.44 is: 431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.11 : 774.25 = 312.44 : x
  2. Step 2: Convert to fraction form
    561.11/774.25 = 312.44/x
  3. Step 3: Cross multiply
    561.11x = 774.25 × 312.44
  4. Step 4: Simplify right side
    561.11x = 241,906.67
  5. Step 5: Solve for x
    x = 241,906.67/561.11
  6. Step 6: Final answer
    x = 431.12

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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.