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Finding the Fourth Proportional to 673.44, 927.27 and 645.78

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Solution

The fourth proportional to 673.44, 927.27 and 645.78 is: 889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.44 : 927.27 = 645.78 : x
  2. Step 2: Convert to fraction form
    673.44/927.27 = 645.78/x
  3. Step 3: Cross multiply
    673.44x = 927.27 × 645.78
  4. Step 4: Simplify right side
    673.44x = 598,812.42
  5. Step 5: Solve for x
    x = 598,812.42/673.44
  6. Step 6: Final answer
    x = 889.18

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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.