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Finding the Fourth Proportional to 701.25, 967.77 and 464.79

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Solution

The fourth proportional to 701.25, 967.77 and 464.79 is: 641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.25 : 967.77 = 464.79 : x
  2. Step 2: Convert to fraction form
    701.25/967.77 = 464.79/x
  3. Step 3: Cross multiply
    701.25x = 967.77 × 464.79
  4. Step 4: Simplify right side
    701.25x = 449,809.82
  5. Step 5: Solve for x
    x = 449,809.82/701.25
  6. Step 6: Final answer
    x = 641.44

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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.