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Finding the Fourth Proportional to 497.73, 686.89 and 350.41

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Solution

The fourth proportional to 497.73, 686.89 and 350.41 is: 483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.73 : 686.89 = 350.41 : x
  2. Step 2: Convert to fraction form
    497.73/686.89 = 350.41/x
  3. Step 3: Cross multiply
    497.73x = 686.89 × 350.41
  4. Step 4: Simplify right side
    497.73x = 240,693.12
  5. Step 5: Solve for x
    x = 240,693.12/497.73
  6. Step 6: Final answer
    x = 483.58

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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.