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Finding the Fourth Proportional to 675.25, 1,012.82 and 213.16

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Solution

The fourth proportional to 675.25, 1,012.82 and 213.16 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.25 : 1,012.82 = 213.16 : x
  2. Step 2: Convert to fraction form
    675.25/1,012.82 = 213.16/x
  3. Step 3: Cross multiply
    675.25x = 1,012.82 × 213.16
  4. Step 4: Simplify right side
    675.25x = 215,887.65
  5. Step 5: Solve for x
    x = 215,887.65/675.25
  6. Step 6: Final answer
    x = 319.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.