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Finding the Fourth Proportional to 561.78, 775.27 and 325.74

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Solution

The fourth proportional to 561.78, 775.27 and 325.74 is: 449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.78 : 775.27 = 325.74 : x
  2. Step 2: Convert to fraction form
    561.78/775.27 = 325.74/x
  3. Step 3: Cross multiply
    561.78x = 775.27 × 325.74
  4. Step 4: Simplify right side
    561.78x = 252,536.45
  5. Step 5: Solve for x
    x = 252,536.45/561.78
  6. Step 6: Final answer
    x = 449.53

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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.