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Finding the Fourth Proportional to 699.37, 964.46 and 463.25

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Solution

The fourth proportional to 699.37, 964.46 and 463.25 is: 638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.37 : 964.46 = 463.25 : x
  2. Step 2: Convert to fraction form
    699.37/964.46 = 463.25/x
  3. Step 3: Cross multiply
    699.37x = 964.46 × 463.25
  4. Step 4: Simplify right side
    699.37x = 446,789.66
  5. Step 5: Solve for x
    x = 446,789.66/699.37
  6. Step 6: Final answer
    x = 638.85

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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.