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Finding the Fourth Proportional to 787.66, 1,181.33 and 300.54

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Solution

The fourth proportional to 787.66, 1,181.33 and 300.54 is: 450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.66 : 1,181.33 = 300.54 : x
  2. Step 2: Convert to fraction form
    787.66/1,181.33 = 300.54/x
  3. Step 3: Cross multiply
    787.66x = 1,181.33 × 300.54
  4. Step 4: Simplify right side
    787.66x = 355,036.92
  5. Step 5: Solve for x
    x = 355,036.92/787.66
  6. Step 6: Final answer
    x = 450.75

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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.