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Finding the Fourth Proportional to 783.36, 1,168.64 and 721.85

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Solution

The fourth proportional to 783.36, 1,168.64 and 721.85 is: 1,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,168.64 = 721.85 : x
  2. Step 2: Convert to fraction form
    783.36/1,168.64 = 721.85/x
  3. Step 3: Cross multiply
    783.36x = 1,168.64 × 721.85
  4. Step 4: Simplify right side
    783.36x = 843,573.33
  5. Step 5: Solve for x
    x = 843,573.33/783.36
  6. Step 6: Final answer
    x = 1,076.87

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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.