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Finding the Fourth Proportional to 552.32, 828.63 and 396.34

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Solution

The fourth proportional to 552.32, 828.63 and 396.34 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.32 : 828.63 = 396.34 : x
  2. Step 2: Convert to fraction form
    552.32/828.63 = 396.34/x
  3. Step 3: Cross multiply
    552.32x = 828.63 × 396.34
  4. Step 4: Simplify right side
    552.32x = 328,421.80
  5. Step 5: Solve for x
    x = 328,421.80/552.32
  6. Step 6: Final answer
    x = 594.62

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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.