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Finding the Fourth Proportional to 561.76, 775.21 and 325.71

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Solution

The fourth proportional to 561.76, 775.21 and 325.71 is: 449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 775.21 = 325.71 : x
  2. Step 2: Convert to fraction form
    561.76/775.21 = 325.71/x
  3. Step 3: Cross multiply
    561.76x = 775.21 × 325.71
  4. Step 4: Simplify right side
    561.76x = 252,492.83
  5. Step 5: Solve for x
    x = 252,492.83/561.76
  6. Step 6: Final answer
    x = 449.47

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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.