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Finding the Fourth Proportional to 551.68, 827.04 and 308.56

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Solution

The fourth proportional to 551.68, 827.04 and 308.56 is: 462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.68 : 827.04 = 308.56 : x
  2. Step 2: Convert to fraction form
    551.68/827.04 = 308.56/x
  3. Step 3: Cross multiply
    551.68x = 827.04 × 308.56
  4. Step 4: Simplify right side
    551.68x = 255,191.46
  5. Step 5: Solve for x
    x = 255,191.46/551.68
  6. Step 6: Final answer
    x = 462.57

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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.