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Finding the Fourth Proportional to 699.38, 966.38 and 513.49

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Solution

The fourth proportional to 699.38, 966.38 and 513.49 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 966.38 = 513.49 : x
  2. Step 2: Convert to fraction form
    699.38/966.38 = 513.49/x
  3. Step 3: Cross multiply
    699.38x = 966.38 × 513.49
  4. Step 4: Simplify right side
    699.38x = 496,226.18
  5. Step 5: Solve for x
    x = 496,226.18/699.38
  6. Step 6: Final answer
    x = 709.52

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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.