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Finding the Fourth Proportional to 561.10, 774.17 and 339.97

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Solution

The fourth proportional to 561.10, 774.17 and 339.97 is: 469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.10 : 774.17 = 339.97 : x
  2. Step 2: Convert to fraction form
    561.10/774.17 = 339.97/x
  3. Step 3: Cross multiply
    561.10x = 774.17 × 339.97
  4. Step 4: Simplify right side
    561.10x = 263,194.57
  5. Step 5: Solve for x
    x = 263,194.57/561.10
  6. Step 6: Final answer
    x = 469.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.