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Finding the Fourth Proportional to 788.66, 1,181.70 and 480.62

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Solution

The fourth proportional to 788.66, 1,181.70 and 480.62 is: 720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.66 : 1,181.70 = 480.62 : x
  2. Step 2: Convert to fraction form
    788.66/1,181.70 = 480.62/x
  3. Step 3: Cross multiply
    788.66x = 1,181.70 × 480.62
  4. Step 4: Simplify right side
    788.66x = 567,942.75
  5. Step 5: Solve for x
    x = 567,942.75/788.66
  6. Step 6: Final answer
    x = 720.14

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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.