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Finding the Fourth Proportional to 643.56, 884.25 and 512.34

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Solution

The fourth proportional to 643.56, 884.25 and 512.34 is: 703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.56 : 884.25 = 512.34 : x
  2. Step 2: Convert to fraction form
    643.56/884.25 = 512.34/x
  3. Step 3: Cross multiply
    643.56x = 884.25 × 512.34
  4. Step 4: Simplify right side
    643.56x = 453,036.65
  5. Step 5: Solve for x
    x = 453,036.65/643.56
  6. Step 6: Final answer
    x = 703.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.