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Finding the Fourth Proportional to 507.27, 699.67 and 310.87

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Solution

The fourth proportional to 507.27, 699.67 and 310.87 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.27 : 699.67 = 310.87 : x
  2. Step 2: Convert to fraction form
    507.27/699.67 = 310.87/x
  3. Step 3: Cross multiply
    507.27x = 699.67 × 310.87
  4. Step 4: Simplify right side
    507.27x = 217,506.41
  5. Step 5: Solve for x
    x = 217,506.41/507.27
  6. Step 6: Final answer
    x = 428.78

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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.