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Finding the Fourth Proportional to 561.17, 774.42 and 328.25

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Solution

The fourth proportional to 561.17, 774.42 and 328.25 is: 452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.17 : 774.42 = 328.25 : x
  2. Step 2: Convert to fraction form
    561.17/774.42 = 328.25/x
  3. Step 3: Cross multiply
    561.17x = 774.42 × 328.25
  4. Step 4: Simplify right side
    561.17x = 254,203.37
  5. Step 5: Solve for x
    x = 254,203.37/561.17
  6. Step 6: Final answer
    x = 452.99

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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.