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Finding the Fourth Proportional to 655.86, 905.34 and 423

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Solution

The fourth proportional to 655.86, 905.34 and 423 is: 583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.86 : 905.34 = 423 : x
  2. Step 2: Convert to fraction form
    655.86/905.34 = 423/x
  3. Step 3: Cross multiply
    655.86x = 905.34 × 423
  4. Step 4: Simplify right side
    655.86x = 382,958.82
  5. Step 5: Solve for x
    x = 382,958.82/655.86
  6. Step 6: Final answer
    x = 583.90

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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.