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Finding the Fourth Proportional to 491.85, 736.97 and 347.27

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Solution

The fourth proportional to 491.85, 736.97 and 347.27 is: 520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.85 : 736.97 = 347.27 : x
  2. Step 2: Convert to fraction form
    491.85/736.97 = 347.27/x
  3. Step 3: Cross multiply
    491.85x = 736.97 × 347.27
  4. Step 4: Simplify right side
    491.85x = 255,922.15
  5. Step 5: Solve for x
    x = 255,922.15/491.85
  6. Step 6: Final answer
    x = 520.33

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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.