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Finding the Fourth Proportional to 493.74, 739.08 and 425.34

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Solution

The fourth proportional to 493.74, 739.08 and 425.34 is: 636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 739.08 = 425.34 : x
  2. Step 2: Convert to fraction form
    493.74/739.08 = 425.34/x
  3. Step 3: Cross multiply
    493.74x = 739.08 × 425.34
  4. Step 4: Simplify right side
    493.74x = 314,360.29
  5. Step 5: Solve for x
    x = 314,360.29/493.74
  6. Step 6: Final answer
    x = 636.69

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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.