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Finding the Fourth Proportional to 491.09, 739.58 and 447.35

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Solution

The fourth proportional to 491.09, 739.58 and 447.35 is: 673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.09 : 739.58 = 447.35 : x
  2. Step 2: Convert to fraction form
    491.09/739.58 = 447.35/x
  3. Step 3: Cross multiply
    491.09x = 739.58 × 447.35
  4. Step 4: Simplify right side
    491.09x = 330,845.18
  5. Step 5: Solve for x
    x = 330,845.18/491.09
  6. Step 6: Final answer
    x = 673.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.