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Finding the Fourth Proportional to 561.09, 774.22 and 321.79

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Solution

The fourth proportional to 561.09, 774.22 and 321.79 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.09 : 774.22 = 321.79 : x
  2. Step 2: Convert to fraction form
    561.09/774.22 = 321.79/x
  3. Step 3: Cross multiply
    561.09x = 774.22 × 321.79
  4. Step 4: Simplify right side
    561.09x = 249,132.38
  5. Step 5: Solve for x
    x = 249,132.38/561.09
  6. Step 6: Final answer
    x = 444.02

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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.