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Finding the Fourth Proportional to 552.49, 828.73 and 141.63

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Solution

The fourth proportional to 552.49, 828.73 and 141.63 is: 212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.49 : 828.73 = 141.63 : x
  2. Step 2: Convert to fraction form
    552.49/828.73 = 141.63/x
  3. Step 3: Cross multiply
    552.49x = 828.73 × 141.63
  4. Step 4: Simplify right side
    552.49x = 117,370.10
  5. Step 5: Solve for x
    x = 117,370.10/552.49
  6. Step 6: Final answer
    x = 212.44

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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.