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Finding the Fourth Proportional to 699.17, 964.44 and 512.33

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Solution

The fourth proportional to 699.17, 964.44 and 512.33 is: 706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.17 : 964.44 = 512.33 : x
  2. Step 2: Convert to fraction form
    699.17/964.44 = 512.33/x
  3. Step 3: Cross multiply
    699.17x = 964.44 × 512.33
  4. Step 4: Simplify right side
    699.17x = 494,106.72
  5. Step 5: Solve for x
    x = 494,106.72/699.17
  6. Step 6: Final answer
    x = 706.71

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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.