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Finding the Fourth Proportional to 787.94, 1,180.50 and 657.14

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Solution

The fourth proportional to 787.94, 1,180.50 and 657.14 is: 984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.94 : 1,180.50 = 657.14 : x
  2. Step 2: Convert to fraction form
    787.94/1,180.50 = 657.14/x
  3. Step 3: Cross multiply
    787.94x = 1,180.50 × 657.14
  4. Step 4: Simplify right side
    787.94x = 775,753.77
  5. Step 5: Solve for x
    x = 775,753.77/787.94
  6. Step 6: Final answer
    x = 984.53

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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.