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Finding the Fourth Proportional to 507.48, 699.84 and 310.92

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Solution

The fourth proportional to 507.48, 699.84 and 310.92 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 699.84 = 310.92 : x
  2. Step 2: Convert to fraction form
    507.48/699.84 = 310.92/x
  3. Step 3: Cross multiply
    507.48x = 699.84 × 310.92
  4. Step 4: Simplify right side
    507.48x = 217,594.25
  5. Step 5: Solve for x
    x = 217,594.25/507.48
  6. Step 6: Final answer
    x = 428.77

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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.