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Finding the Fourth Proportional to 561.25, 774.41 and 325.19

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Solution

The fourth proportional to 561.25, 774.41 and 325.19 is: 448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.25 : 774.41 = 325.19 : x
  2. Step 2: Convert to fraction form
    561.25/774.41 = 325.19/x
  3. Step 3: Cross multiply
    561.25x = 774.41 × 325.19
  4. Step 4: Simplify right side
    561.25x = 251,825.70
  5. Step 5: Solve for x
    x = 251,825.70/561.25
  6. Step 6: Final answer
    x = 448.69

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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.