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Finding the Fourth Proportional to 787.94, 1,181.87 and 202.94

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Solution

The fourth proportional to 787.94, 1,181.87 and 202.94 is: 304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.94 : 1,181.87 = 202.94 : x
  2. Step 2: Convert to fraction form
    787.94/1,181.87 = 202.94/x
  3. Step 3: Cross multiply
    787.94x = 1,181.87 × 202.94
  4. Step 4: Simplify right side
    787.94x = 239,848.70
  5. Step 5: Solve for x
    x = 239,848.70/787.94
  6. Step 6: Final answer
    x = 304.40

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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.