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Finding the Fourth Proportional to 675.28, 1,012.21 and 309.77

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Solution

The fourth proportional to 675.28, 1,012.21 and 309.77 is: 464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.28 : 1,012.21 = 309.77 : x
  2. Step 2: Convert to fraction form
    675.28/1,012.21 = 309.77/x
  3. Step 3: Cross multiply
    675.28x = 1,012.21 × 309.77
  4. Step 4: Simplify right side
    675.28x = 313,546.46
  5. Step 5: Solve for x
    x = 313,546.46/675.28
  6. Step 6: Final answer
    x = 464.32

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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.