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Finding the Fourth Proportional to 497.03, 685.07 and 349.40

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Solution

The fourth proportional to 497.03, 685.07 and 349.40 is: 481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.03 : 685.07 = 349.40 : x
  2. Step 2: Convert to fraction form
    497.03/685.07 = 349.40/x
  3. Step 3: Cross multiply
    497.03x = 685.07 × 349.40
  4. Step 4: Simplify right side
    497.03x = 239,364.73
  5. Step 5: Solve for x
    x = 239,364.73/497.03
  6. Step 6: Final answer
    x = 481.59

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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.