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Finding the Fourth Proportional to 507.20, 699.84 and 310.77

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Solution

The fourth proportional to 507.20, 699.84 and 310.77 is: 428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 699.84 = 310.77 : x
  2. Step 2: Convert to fraction form
    507.20/699.84 = 310.77/x
  3. Step 3: Cross multiply
    507.20x = 699.84 × 310.77
  4. Step 4: Simplify right side
    507.20x = 217,489.28
  5. Step 5: Solve for x
    x = 217,489.28/507.20
  6. Step 6: Final answer
    x = 428.81

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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.