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Finding the Fourth Proportional to 788.03, 1,181.54 and 300.82

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Solution

The fourth proportional to 788.03, 1,181.54 and 300.82 is: 451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.03 : 1,181.54 = 300.82 : x
  2. Step 2: Convert to fraction form
    788.03/1,181.54 = 300.82/x
  3. Step 3: Cross multiply
    788.03x = 1,181.54 × 300.82
  4. Step 4: Simplify right side
    788.03x = 355,424.96
  5. Step 5: Solve for x
    x = 355,424.96/788.03
  6. Step 6: Final answer
    x = 451.03

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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.