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Finding the Fourth Proportional to 838.37, 1,258.23 and 607.37

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Solution

The fourth proportional to 838.37, 1,258.23 and 607.37 is: 911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,258.23 = 607.37 : x
  2. Step 2: Convert to fraction form
    838.37/1,258.23 = 607.37/x
  3. Step 3: Cross multiply
    838.37x = 1,258.23 × 607.37
  4. Step 4: Simplify right side
    838.37x = 764,207.14
  5. Step 5: Solve for x
    x = 764,207.14/838.37
  6. Step 6: Final answer
    x = 911.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.