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Finding the Fourth Proportional to 787.41, 1,181.70 and 325.49

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Solution

The fourth proportional to 787.41, 1,181.70 and 325.49 is: 488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.41 : 1,181.70 = 325.49 : x
  2. Step 2: Convert to fraction form
    787.41/1,181.70 = 325.49/x
  3. Step 3: Cross multiply
    787.41x = 1,181.70 × 325.49
  4. Step 4: Simplify right side
    787.41x = 384,625.62
  5. Step 5: Solve for x
    x = 384,625.62/787.41
  6. Step 6: Final answer
    x = 488.47

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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.