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Finding the Fourth Proportional to 647.44, 894.12 and 461.96

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Solution

The fourth proportional to 647.44, 894.12 and 461.96 is: 637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.44 : 894.12 = 461.96 : x
  2. Step 2: Convert to fraction form
    647.44/894.12 = 461.96/x
  3. Step 3: Cross multiply
    647.44x = 894.12 × 461.96
  4. Step 4: Simplify right side
    647.44x = 413,047.68
  5. Step 5: Solve for x
    x = 413,047.68/647.44
  6. Step 6: Final answer
    x = 637.97

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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.