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Finding the Fourth Proportional to 551.86, 828.21 and 308.47

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Solution

The fourth proportional to 551.86, 828.21 and 308.47 is: 462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 828.21 = 308.47 : x
  2. Step 2: Convert to fraction form
    551.86/828.21 = 308.47/x
  3. Step 3: Cross multiply
    551.86x = 828.21 × 308.47
  4. Step 4: Simplify right side
    551.86x = 255,477.94
  5. Step 5: Solve for x
    x = 255,477.94/551.86
  6. Step 6: Final answer
    x = 462.94

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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.