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Finding the Fourth Proportional to 647.73, 893.82 and 385.69

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Solution

The fourth proportional to 647.73, 893.82 and 385.69 is: 532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.73 : 893.82 = 385.69 : x
  2. Step 2: Convert to fraction form
    647.73/893.82 = 385.69/x
  3. Step 3: Cross multiply
    647.73x = 893.82 × 385.69
  4. Step 4: Simplify right side
    647.73x = 344,737.44
  5. Step 5: Solve for x
    x = 344,737.44/647.73
  6. Step 6: Final answer
    x = 532.22

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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.