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Finding the Fourth Proportional to 699.44, 966.47 and 513.54

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Solution

The fourth proportional to 699.44, 966.47 and 513.54 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.44 : 966.47 = 513.54 : x
  2. Step 2: Convert to fraction form
    699.44/966.47 = 513.54/x
  3. Step 3: Cross multiply
    699.44x = 966.47 × 513.54
  4. Step 4: Simplify right side
    699.44x = 496,318.44
  5. Step 5: Solve for x
    x = 496,318.44/699.44
  6. Step 6: Final answer
    x = 709.60

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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.