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Finding the Fourth Proportional to 787.50, 1,181.34 and 402.84

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Solution

The fourth proportional to 787.50, 1,181.34 and 402.84 is: 604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,181.34 = 402.84 : x
  2. Step 2: Convert to fraction form
    787.50/1,181.34 = 402.84/x
  3. Step 3: Cross multiply
    787.50x = 1,181.34 × 402.84
  4. Step 4: Simplify right side
    787.50x = 475,891.01
  5. Step 5: Solve for x
    x = 475,891.01/787.50
  6. Step 6: Final answer
    x = 604.31

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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.