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Finding the Fourth Proportional to 647.37, 893.31 and 385.56

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Solution

The fourth proportional to 647.37, 893.31 and 385.56 is: 532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.37 : 893.31 = 385.56 : x
  2. Step 2: Convert to fraction form
    647.37/893.31 = 385.56/x
  3. Step 3: Cross multiply
    647.37x = 893.31 × 385.56
  4. Step 4: Simplify right side
    647.37x = 344,424.60
  5. Step 5: Solve for x
    x = 344,424.60/647.37
  6. Step 6: Final answer
    x = 532.04

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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.