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Finding the Fourth Proportional to 657.68, 985.23 and 495.54

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Solution

The fourth proportional to 657.68, 985.23 and 495.54 is: 742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 985.23 = 495.54 : x
  2. Step 2: Convert to fraction form
    657.68/985.23 = 495.54/x
  3. Step 3: Cross multiply
    657.68x = 985.23 × 495.54
  4. Step 4: Simplify right side
    657.68x = 488,220.87
  5. Step 5: Solve for x
    x = 488,220.87/657.68
  6. Step 6: Final answer
    x = 742.34

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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.