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Finding the Fourth Proportional to 787.21, 1,180.51 and 376.54

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Solution

The fourth proportional to 787.21, 1,180.51 and 376.54 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.21 : 1,180.51 = 376.54 : x
  2. Step 2: Convert to fraction form
    787.21/1,180.51 = 376.54/x
  3. Step 3: Cross multiply
    787.21x = 1,180.51 × 376.54
  4. Step 4: Simplify right side
    787.21x = 444,505.34
  5. Step 5: Solve for x
    x = 444,505.34/787.21
  6. Step 6: Final answer
    x = 564.66

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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.