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Finding the Fourth Proportional to 786.84, 1,171.69 and 778.21

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Solution

The fourth proportional to 786.84, 1,171.69 and 778.21 is: 1,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.84 : 1,171.69 = 778.21 : x
  2. Step 2: Convert to fraction form
    786.84/1,171.69 = 778.21/x
  3. Step 3: Cross multiply
    786.84x = 1,171.69 × 778.21
  4. Step 4: Simplify right side
    786.84x = 911,820.87
  5. Step 5: Solve for x
    x = 911,820.87/786.84
  6. Step 6: Final answer
    x = 1,158.84

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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.