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Finding the Fourth Proportional to 552.77, 828.78 and 259.97

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Solution

The fourth proportional to 552.77, 828.78 and 259.97 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.77 : 828.78 = 259.97 : x
  2. Step 2: Convert to fraction form
    552.77/828.78 = 259.97/x
  3. Step 3: Cross multiply
    552.77x = 828.78 × 259.97
  4. Step 4: Simplify right side
    552.77x = 215,457.94
  5. Step 5: Solve for x
    x = 215,457.94/552.77
  6. Step 6: Final answer
    x = 389.78

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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.