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Finding the Fourth Proportional to 675.49, 1,012.83 and 264.43

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Solution

The fourth proportional to 675.49, 1,012.83 and 264.43 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.49 : 1,012.83 = 264.43 : x
  2. Step 2: Convert to fraction form
    675.49/1,012.83 = 264.43/x
  3. Step 3: Cross multiply
    675.49x = 1,012.83 × 264.43
  4. Step 4: Simplify right side
    675.49x = 267,822.64
  5. Step 5: Solve for x
    x = 267,822.64/675.49
  6. Step 6: Final answer
    x = 396.49

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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.