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Finding the Fourth Proportional to 786.94, 1,180.81 and 440.05

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Solution

The fourth proportional to 786.94, 1,180.81 and 440.05 is: 660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.94 : 1,180.81 = 440.05 : x
  2. Step 2: Convert to fraction form
    786.94/1,180.81 = 440.05/x
  3. Step 3: Cross multiply
    786.94x = 1,180.81 × 440.05
  4. Step 4: Simplify right side
    786.94x = 519,615.44
  5. Step 5: Solve for x
    x = 519,615.44/786.94
  6. Step 6: Final answer
    x = 660.30

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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.