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Finding the Fourth Proportional to 785.94, 1,170.54 and 764.41

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Solution

The fourth proportional to 785.94, 1,170.54 and 764.41 is: 1,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.94 : 1,170.54 = 764.41 : x
  2. Step 2: Convert to fraction form
    785.94/1,170.54 = 764.41/x
  3. Step 3: Cross multiply
    785.94x = 1,170.54 × 764.41
  4. Step 4: Simplify right side
    785.94x = 894,772.48
  5. Step 5: Solve for x
    x = 894,772.48/785.94
  6. Step 6: Final answer
    x = 1,138.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.