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Finding the Fourth Proportional to 655.96, 905.36 and 434.92

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Solution

The fourth proportional to 655.96, 905.36 and 434.92 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 905.36 = 434.92 : x
  2. Step 2: Convert to fraction form
    655.96/905.36 = 434.92/x
  3. Step 3: Cross multiply
    655.96x = 905.36 × 434.92
  4. Step 4: Simplify right side
    655.96x = 393,759.17
  5. Step 5: Solve for x
    x = 393,759.17/655.96
  6. Step 6: Final answer
    x = 600.28

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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.