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Finding the Fourth Proportional to 788.22, 1,179.90 and 721.02

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Solution

The fourth proportional to 788.22, 1,179.90 and 721.02 is: 1,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.22 : 1,179.90 = 721.02 : x
  2. Step 2: Convert to fraction form
    788.22/1,179.90 = 721.02/x
  3. Step 3: Cross multiply
    788.22x = 1,179.90 × 721.02
  4. Step 4: Simplify right side
    788.22x = 850,731.50
  5. Step 5: Solve for x
    x = 850,731.50/788.22
  6. Step 6: Final answer
    x = 1,079.31

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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.