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Finding the Fourth Proportional to 675.31, 1,012.89 and 309.86

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Solution

The fourth proportional to 675.31, 1,012.89 and 309.86 is: 464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.31 : 1,012.89 = 309.86 : x
  2. Step 2: Convert to fraction form
    675.31/1,012.89 = 309.86/x
  3. Step 3: Cross multiply
    675.31x = 1,012.89 × 309.86
  4. Step 4: Simplify right side
    675.31x = 313,854.10
  5. Step 5: Solve for x
    x = 313,854.10/675.31
  6. Step 6: Final answer
    x = 464.76

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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.