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Finding the Fourth Proportional to 675.61, 1,012.91 and 213.14

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Solution

The fourth proportional to 675.61, 1,012.91 and 213.14 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.61 : 1,012.91 = 213.14 : x
  2. Step 2: Convert to fraction form
    675.61/1,012.91 = 213.14/x
  3. Step 3: Cross multiply
    675.61x = 1,012.91 × 213.14
  4. Step 4: Simplify right side
    675.61x = 215,886.57
  5. Step 5: Solve for x
    x = 215,886.57/675.61
  6. Step 6: Final answer
    x = 319.55

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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.