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Finding the Fourth Proportional to 507.32, 699.88 and 310.76

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Solution

The fourth proportional to 507.32, 699.88 and 310.76 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 699.88 = 310.76 : x
  2. Step 2: Convert to fraction form
    507.32/699.88 = 310.76/x
  3. Step 3: Cross multiply
    507.32x = 699.88 × 310.76
  4. Step 4: Simplify right side
    507.32x = 217,494.71
  5. Step 5: Solve for x
    x = 217,494.71/507.32
  6. Step 6: Final answer
    x = 428.71

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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.