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Finding the Fourth Proportional to 531.49, 796.74 and 189.25

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Solution

The fourth proportional to 531.49, 796.74 and 189.25 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.49 : 796.74 = 189.25 : x
  2. Step 2: Convert to fraction form
    531.49/796.74 = 189.25/x
  3. Step 3: Cross multiply
    531.49x = 796.74 × 189.25
  4. Step 4: Simplify right side
    531.49x = 150,783.05
  5. Step 5: Solve for x
    x = 150,783.05/531.49
  6. Step 6: Final answer
    x = 283.70

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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.