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Finding the Fourth Proportional to 787.60, 1,180.50 and 300.43

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Solution

The fourth proportional to 787.60, 1,180.50 and 300.43 is: 450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.60 : 1,180.50 = 300.43 : x
  2. Step 2: Convert to fraction form
    787.60/1,180.50 = 300.43/x
  3. Step 3: Cross multiply
    787.60x = 1,180.50 × 300.43
  4. Step 4: Simplify right side
    787.60x = 354,657.62
  5. Step 5: Solve for x
    x = 354,657.62/787.60
  6. Step 6: Final answer
    x = 450.30

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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.