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Finding the Fourth Proportional to 552.45, 828.43 and 278.68

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Solution

The fourth proportional to 552.45, 828.43 and 278.68 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 828.43 = 278.68 : x
  2. Step 2: Convert to fraction form
    552.45/828.43 = 278.68/x
  3. Step 3: Cross multiply
    552.45x = 828.43 × 278.68
  4. Step 4: Simplify right side
    552.45x = 230,866.87
  5. Step 5: Solve for x
    x = 230,866.87/552.45
  6. Step 6: Final answer
    x = 417.90

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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.