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Finding the Fourth Proportional to 557.44, 836.94 and 547.72

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Solution

The fourth proportional to 557.44, 836.94 and 547.72 is: 822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 836.94 = 547.72 : x
  2. Step 2: Convert to fraction form
    557.44/836.94 = 547.72/x
  3. Step 3: Cross multiply
    557.44x = 836.94 × 547.72
  4. Step 4: Simplify right side
    557.44x = 458,408.78
  5. Step 5: Solve for x
    x = 458,408.78/557.44
  6. Step 6: Final answer
    x = 822.35

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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.