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Finding the Fourth Proportional to 552.18, 826.79 and 277.59

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Solution

The fourth proportional to 552.18, 826.79 and 277.59 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.18 : 826.79 = 277.59 : x
  2. Step 2: Convert to fraction form
    552.18/826.79 = 277.59/x
  3. Step 3: Cross multiply
    552.18x = 826.79 × 277.59
  4. Step 4: Simplify right side
    552.18x = 229,507.25
  5. Step 5: Solve for x
    x = 229,507.25/552.18
  6. Step 6: Final answer
    x = 415.64

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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.