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Finding the Fourth Proportional to 657.98, 908.60 and 491.90

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Solution

The fourth proportional to 657.98, 908.60 and 491.90 is: 679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.98 : 908.60 = 491.90 : x
  2. Step 2: Convert to fraction form
    657.98/908.60 = 491.90/x
  3. Step 3: Cross multiply
    657.98x = 908.60 × 491.90
  4. Step 4: Simplify right side
    657.98x = 446,940.34
  5. Step 5: Solve for x
    x = 446,940.34/657.98
  6. Step 6: Final answer
    x = 679.26

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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.