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Finding the Fourth Proportional to 688.44, 947.62 and 600.96

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Solution

The fourth proportional to 688.44, 947.62 and 600.96 is: 827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.44 : 947.62 = 600.96 : x
  2. Step 2: Convert to fraction form
    688.44/947.62 = 600.96/x
  3. Step 3: Cross multiply
    688.44x = 947.62 × 600.96
  4. Step 4: Simplify right side
    688.44x = 569,481.72
  5. Step 5: Solve for x
    x = 569,481.72/688.44
  6. Step 6: Final answer
    x = 827.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.