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Finding the Fourth Proportional to 607.31, 838.46 and 420.73

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Solution

The fourth proportional to 607.31, 838.46 and 420.73 is: 580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.31 : 838.46 = 420.73 : x
  2. Step 2: Convert to fraction form
    607.31/838.46 = 420.73/x
  3. Step 3: Cross multiply
    607.31x = 838.46 × 420.73
  4. Step 4: Simplify right side
    607.31x = 352,764.23
  5. Step 5: Solve for x
    x = 352,764.23/607.31
  6. Step 6: Final answer
    x = 580.87

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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.