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Finding the Fourth Proportional to 561.92, 775.84 and 394.23

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Solution

The fourth proportional to 561.92, 775.84 and 394.23 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.92 : 775.84 = 394.23 : x
  2. Step 2: Convert to fraction form
    561.92/775.84 = 394.23/x
  3. Step 3: Cross multiply
    561.92x = 775.84 × 394.23
  4. Step 4: Simplify right side
    561.92x = 305,856.51
  5. Step 5: Solve for x
    x = 305,856.51/561.92
  6. Step 6: Final answer
    x = 544.31

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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.