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Finding the Fourth Proportional to 553.36, 827.84 and 462.20

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Solution

The fourth proportional to 553.36, 827.84 and 462.20 is: 691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.36 : 827.84 = 462.20 : x
  2. Step 2: Convert to fraction form
    553.36/827.84 = 462.20/x
  3. Step 3: Cross multiply
    553.36x = 827.84 × 462.20
  4. Step 4: Simplify right side
    553.36x = 382,627.65
  5. Step 5: Solve for x
    x = 382,627.65/553.36
  6. Step 6: Final answer
    x = 691.46

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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.