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Finding the Fourth Proportional to 497.41, 686.57 and 310.78

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Solution

The fourth proportional to 497.41, 686.57 and 310.78 is: 428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.41 : 686.57 = 310.78 : x
  2. Step 2: Convert to fraction form
    497.41/686.57 = 310.78/x
  3. Step 3: Cross multiply
    497.41x = 686.57 × 310.78
  4. Step 4: Simplify right side
    497.41x = 213,372.22
  5. Step 5: Solve for x
    x = 213,372.22/497.41
  6. Step 6: Final answer
    x = 428.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.