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Finding the Fourth Proportional to 728.35, 1,091.86 and 295.21

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Solution

The fourth proportional to 728.35, 1,091.86 and 295.21 is: 442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.35 : 1,091.86 = 295.21 : x
  2. Step 2: Convert to fraction form
    728.35/1,091.86 = 295.21/x
  3. Step 3: Cross multiply
    728.35x = 1,091.86 × 295.21
  4. Step 4: Simplify right side
    728.35x = 322,327.99
  5. Step 5: Solve for x
    x = 322,327.99/728.35
  6. Step 6: Final answer
    x = 442.55

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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.