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Finding the Fourth Proportional to 787.80, 1,181.12 and 376.96

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Solution

The fourth proportional to 787.80, 1,181.12 and 376.96 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.80 : 1,181.12 = 376.96 : x
  2. Step 2: Convert to fraction form
    787.80/1,181.12 = 376.96/x
  3. Step 3: Cross multiply
    787.80x = 1,181.12 × 376.96
  4. Step 4: Simplify right side
    787.80x = 445,235.00
  5. Step 5: Solve for x
    x = 445,235.00/787.80
  6. Step 6: Final answer
    x = 565.16

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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.