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Finding the Fourth Proportional to 553.13, 827.80 and 454.49

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Solution

The fourth proportional to 553.13, 827.80 and 454.49 is: 680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 827.80 = 454.49 : x
  2. Step 2: Convert to fraction form
    553.13/827.80 = 454.49/x
  3. Step 3: Cross multiply
    553.13x = 827.80 × 454.49
  4. Step 4: Simplify right side
    553.13x = 376,226.82
  5. Step 5: Solve for x
    x = 376,226.82/553.13
  6. Step 6: Final answer
    x = 680.18

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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.