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Finding the Fourth Proportional to 551.87, 826.99 and 308.06

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Solution

The fourth proportional to 551.87, 826.99 and 308.06 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.87 : 826.99 = 308.06 : x
  2. Step 2: Convert to fraction form
    551.87/826.99 = 308.06/x
  3. Step 3: Cross multiply
    551.87x = 826.99 × 308.06
  4. Step 4: Simplify right side
    551.87x = 254,762.54
  5. Step 5: Solve for x
    x = 254,762.54/551.87
  6. Step 6: Final answer
    x = 461.64

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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.