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Finding the Fourth Proportional to 497.50, 685.83 and 349.90

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Solution

The fourth proportional to 497.50, 685.83 and 349.90 is: 482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.50 : 685.83 = 349.90 : x
  2. Step 2: Convert to fraction form
    497.50/685.83 = 349.90/x
  3. Step 3: Cross multiply
    497.50x = 685.83 × 349.90
  4. Step 4: Simplify right side
    497.50x = 239,971.92
  5. Step 5: Solve for x
    x = 239,971.92/497.50
  6. Step 6: Final answer
    x = 482.36

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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.