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Finding the Fourth Proportional to 657.08, 905.82 and 459.98

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Solution

The fourth proportional to 657.08, 905.82 and 459.98 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.08 : 905.82 = 459.98 : x
  2. Step 2: Convert to fraction form
    657.08/905.82 = 459.98/x
  3. Step 3: Cross multiply
    657.08x = 905.82 × 459.98
  4. Step 4: Simplify right side
    657.08x = 416,659.08
  5. Step 5: Solve for x
    x = 416,659.08/657.08
  6. Step 6: Final answer
    x = 634.11

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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.