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Finding the Fourth Proportional to 655.88, 905.12 and 393.84

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Solution

The fourth proportional to 655.88, 905.12 and 393.84 is: 543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 905.12 = 393.84 : x
  2. Step 2: Convert to fraction form
    655.88/905.12 = 393.84/x
  3. Step 3: Cross multiply
    655.88x = 905.12 × 393.84
  4. Step 4: Simplify right side
    655.88x = 356,470.49
  5. Step 5: Solve for x
    x = 356,470.49/655.88
  6. Step 6: Final answer
    x = 543.50

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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.