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Finding the Fourth Proportional to 513.72, 699.90 and 502.44

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Solution

The fourth proportional to 513.72, 699.90 and 502.44 is: 684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.72 : 699.90 = 502.44 : x
  2. Step 2: Convert to fraction form
    513.72/699.90 = 502.44/x
  3. Step 3: Cross multiply
    513.72x = 699.90 × 502.44
  4. Step 4: Simplify right side
    513.72x = 351,657.76
  5. Step 5: Solve for x
    x = 351,657.76/513.72
  6. Step 6: Final answer
    x = 684.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.