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Finding the Fourth Proportional to 607.31, 837.78 and 397.84

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Solution

The fourth proportional to 607.31, 837.78 and 397.84 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.31 : 837.78 = 397.84 : x
  2. Step 2: Convert to fraction form
    607.31/837.78 = 397.84/x
  3. Step 3: Cross multiply
    607.31x = 837.78 × 397.84
  4. Step 4: Simplify right side
    607.31x = 333,299.70
  5. Step 5: Solve for x
    x = 333,299.70/607.31
  6. Step 6: Final answer
    x = 548.81

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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.