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Finding the Fourth Proportional to 787.77, 1,181.27 and 325.38

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Solution

The fourth proportional to 787.77, 1,181.27 and 325.38 is: 487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.77 : 1,181.27 = 325.38 : x
  2. Step 2: Convert to fraction form
    787.77/1,181.27 = 325.38/x
  3. Step 3: Cross multiply
    787.77x = 1,181.27 × 325.38
  4. Step 4: Simplify right side
    787.77x = 384,360.01
  5. Step 5: Solve for x
    x = 384,360.01/787.77
  6. Step 6: Final answer
    x = 487.91

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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.