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Finding the Fourth Proportional to 561.75, 774.97 and 352.02

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Solution

The fourth proportional to 561.75, 774.97 and 352.02 is: 485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 774.97 = 352.02 : x
  2. Step 2: Convert to fraction form
    561.75/774.97 = 352.02/x
  3. Step 3: Cross multiply
    561.75x = 774.97 × 352.02
  4. Step 4: Simplify right side
    561.75x = 272,804.94
  5. Step 5: Solve for x
    x = 272,804.94/561.75
  6. Step 6: Final answer
    x = 485.63

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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.