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Finding the Fourth Proportional to 655.92, 905.16 and 394.08

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Solution

The fourth proportional to 655.92, 905.16 and 394.08 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.92 : 905.16 = 394.08 : x
  2. Step 2: Convert to fraction form
    655.92/905.16 = 394.08/x
  3. Step 3: Cross multiply
    655.92x = 905.16 × 394.08
  4. Step 4: Simplify right side
    655.92x = 356,705.45
  5. Step 5: Solve for x
    x = 356,705.45/655.92
  6. Step 6: Final answer
    x = 543.82

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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.