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Finding the Fourth Proportional to 758.75, 1,046.97 and 464.12

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Solution

The fourth proportional to 758.75, 1,046.97 and 464.12 is: 640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.75 : 1,046.97 = 464.12 : x
  2. Step 2: Convert to fraction form
    758.75/1,046.97 = 464.12/x
  3. Step 3: Cross multiply
    758.75x = 1,046.97 × 464.12
  4. Step 4: Simplify right side
    758.75x = 485,914.48
  5. Step 5: Solve for x
    x = 485,914.48/758.75
  6. Step 6: Final answer
    x = 640.42

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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.