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Finding the Fourth Proportional to 647.84, 893.33 and 481.78

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Solution

The fourth proportional to 647.84, 893.33 and 481.78 is: 664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 893.33 = 481.78 : x
  2. Step 2: Convert to fraction form
    647.84/893.33 = 481.78/x
  3. Step 3: Cross multiply
    647.84x = 893.33 × 481.78
  4. Step 4: Simplify right side
    647.84x = 430,388.53
  5. Step 5: Solve for x
    x = 430,388.53/647.84
  6. Step 6: Final answer
    x = 664.34

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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.