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Finding the Fourth Proportional to 968.03, 1,451.89 and 309.82

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Solution

The fourth proportional to 968.03, 1,451.89 and 309.82 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.03 : 1,451.89 = 309.82 : x
  2. Step 2: Convert to fraction form
    968.03/1,451.89 = 309.82/x
  3. Step 3: Cross multiply
    968.03x = 1,451.89 × 309.82
  4. Step 4: Simplify right side
    968.03x = 449,824.56
  5. Step 5: Solve for x
    x = 449,824.56/968.03
  6. Step 6: Final answer
    x = 464.68

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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.