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Finding the Fourth Proportional to 657.23, 905.99 and 435.79

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Solution

The fourth proportional to 657.23, 905.99 and 435.79 is: 600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 905.99 = 435.79 : x
  2. Step 2: Convert to fraction form
    657.23/905.99 = 435.79/x
  3. Step 3: Cross multiply
    657.23x = 905.99 × 435.79
  4. Step 4: Simplify right side
    657.23x = 394,821.38
  5. Step 5: Solve for x
    x = 394,821.38/657.23
  6. Step 6: Final answer
    x = 600.74

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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.