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Finding the Fourth Proportional to 497.68, 686.78 and 301.14

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Solution

The fourth proportional to 497.68, 686.78 and 301.14 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 686.78 = 301.14 : x
  2. Step 2: Convert to fraction form
    497.68/686.78 = 301.14/x
  3. Step 3: Cross multiply
    497.68x = 686.78 × 301.14
  4. Step 4: Simplify right side
    497.68x = 206,816.93
  5. Step 5: Solve for x
    x = 206,816.93/497.68
  6. Step 6: Final answer
    x = 415.56

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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.