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Finding the Fourth Proportional to 561.45, 774.97 and 325.55

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Solution

The fourth proportional to 561.45, 774.97 and 325.55 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.45 : 774.97 = 325.55 : x
  2. Step 2: Convert to fraction form
    561.45/774.97 = 325.55/x
  3. Step 3: Cross multiply
    561.45x = 774.97 × 325.55
  4. Step 4: Simplify right side
    561.45x = 252,286.79
  5. Step 5: Solve for x
    x = 252,286.79/561.45
  6. Step 6: Final answer
    x = 449.35

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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.