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Finding the Fourth Proportional to 675.30, 1,012.94 and 213.10

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Solution

The fourth proportional to 675.30, 1,012.94 and 213.10 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.30 : 1,012.94 = 213.10 : x
  2. Step 2: Convert to fraction form
    675.30/1,012.94 = 213.10/x
  3. Step 3: Cross multiply
    675.30x = 1,012.94 × 213.10
  4. Step 4: Simplify right side
    675.30x = 215,857.51
  5. Step 5: Solve for x
    x = 215,857.51/675.30
  6. Step 6: Final answer
    x = 319.65

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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.