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Finding the Fourth Proportional to 657.28, 985.07 and 349.28

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Solution

The fourth proportional to 657.28, 985.07 and 349.28 is: 523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.28 : 985.07 = 349.28 : x
  2. Step 2: Convert to fraction form
    657.28/985.07 = 349.28/x
  3. Step 3: Cross multiply
    657.28x = 985.07 × 349.28
  4. Step 4: Simplify right side
    657.28x = 344,058.58
  5. Step 5: Solve for x
    x = 344,058.58/657.28
  6. Step 6: Final answer
    x = 523.46

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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.