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Finding the Fourth Proportional to 561.25, 774.36 and 325.20

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Solution

The fourth proportional to 561.25, 774.36 and 325.20 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.25 : 774.36 = 325.20 : x
  2. Step 2: Convert to fraction form
    561.25/774.36 = 325.20/x
  3. Step 3: Cross multiply
    561.25x = 774.36 × 325.20
  4. Step 4: Simplify right side
    561.25x = 251,821.87
  5. Step 5: Solve for x
    x = 251,821.87/561.25
  6. Step 6: Final answer
    x = 448.68

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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.