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Finding the Fourth Proportional to 657.94, 986.85 and 225.07

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Solution

The fourth proportional to 657.94, 986.85 and 225.07 is: 337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.94 : 986.85 = 225.07 : x
  2. Step 2: Convert to fraction form
    657.94/986.85 = 225.07/x
  3. Step 3: Cross multiply
    657.94x = 986.85 × 225.07
  4. Step 4: Simplify right side
    657.94x = 222,110.33
  5. Step 5: Solve for x
    x = 222,110.33/657.94
  6. Step 6: Final answer
    x = 337.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.