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Finding the Fourth Proportional to 607.31, 837.86 and 397.60

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Solution

The fourth proportional to 607.31, 837.86 and 397.60 is: 548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.31 : 837.86 = 397.60 : x
  2. Step 2: Convert to fraction form
    607.31/837.86 = 397.60/x
  3. Step 3: Cross multiply
    607.31x = 837.86 × 397.60
  4. Step 4: Simplify right side
    607.31x = 333,133.14
  5. Step 5: Solve for x
    x = 333,133.14/607.31
  6. Step 6: Final answer
    x = 548.54

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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.