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Finding the Fourth Proportional to 561.96, 775.87 and 352.22

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Solution

The fourth proportional to 561.96, 775.87 and 352.22 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 775.87 = 352.22 : x
  2. Step 2: Convert to fraction form
    561.96/775.87 = 352.22/x
  3. Step 3: Cross multiply
    561.96x = 775.87 × 352.22
  4. Step 4: Simplify right side
    561.96x = 273,272.17
  5. Step 5: Solve for x
    x = 273,272.17/561.96
  6. Step 6: Final answer
    x = 486.28

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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.