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Finding the Fourth Proportional to 778.41, 1,168.08 and 718.28

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Solution

The fourth proportional to 778.41, 1,168.08 and 718.28 is: 1,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,168.08 = 718.28 : x
  2. Step 2: Convert to fraction form
    778.41/1,168.08 = 718.28/x
  3. Step 3: Cross multiply
    778.41x = 1,168.08 × 718.28
  4. Step 4: Simplify right side
    778.41x = 839,002.66
  5. Step 5: Solve for x
    x = 839,002.66/778.41
  6. Step 6: Final answer
    x = 1,077.84

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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.