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Finding the Fourth Proportional to 655.69, 905.11 and 434.56

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Solution

The fourth proportional to 655.69, 905.11 and 434.56 is: 599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.69 : 905.11 = 434.56 : x
  2. Step 2: Convert to fraction form
    655.69/905.11 = 434.56/x
  3. Step 3: Cross multiply
    655.69x = 905.11 × 434.56
  4. Step 4: Simplify right side
    655.69x = 393,322.43
  5. Step 5: Solve for x
    x = 393,322.43/655.69
  6. Step 6: Final answer
    x = 599.86

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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.