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Finding the Fourth Proportional to 497.01, 686.21 and 310.78

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Solution

The fourth proportional to 497.01, 686.21 and 310.78 is: 429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.01 : 686.21 = 310.78 : x
  2. Step 2: Convert to fraction form
    497.01/686.21 = 310.78/x
  3. Step 3: Cross multiply
    497.01x = 686.21 × 310.78
  4. Step 4: Simplify right side
    497.01x = 213,260.34
  5. Step 5: Solve for x
    x = 213,260.34/497.01
  6. Step 6: Final answer
    x = 429.09

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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.