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Finding the Fourth Proportional to 497.72, 686.74 and 301.24

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Solution

The fourth proportional to 497.72, 686.74 and 301.24 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.72 : 686.74 = 301.24 : x
  2. Step 2: Convert to fraction form
    497.72/686.74 = 301.24/x
  3. Step 3: Cross multiply
    497.72x = 686.74 × 301.24
  4. Step 4: Simplify right side
    497.72x = 206,873.56
  5. Step 5: Solve for x
    x = 206,873.56/497.72
  6. Step 6: Final answer
    x = 415.64

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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.