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Finding the Fourth Proportional to 561.12, 774.39 and 325.13

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Solution

The fourth proportional to 561.12, 774.39 and 325.13 is: 448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 774.39 = 325.13 : x
  2. Step 2: Convert to fraction form
    561.12/774.39 = 325.13/x
  3. Step 3: Cross multiply
    561.12x = 774.39 × 325.13
  4. Step 4: Simplify right side
    561.12x = 251,778.54
  5. Step 5: Solve for x
    x = 251,778.54/561.12
  6. Step 6: Final answer
    x = 448.71

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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.