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Finding the Fourth Proportional to 793.78, 1,196.09 and 652.66

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Solution

The fourth proportional to 793.78, 1,196.09 and 652.66 is: 983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.78 : 1,196.09 = 652.66 : x
  2. Step 2: Convert to fraction form
    793.78/1,196.09 = 652.66/x
  3. Step 3: Cross multiply
    793.78x = 1,196.09 × 652.66
  4. Step 4: Simplify right side
    793.78x = 780,640.10
  5. Step 5: Solve for x
    x = 780,640.10/793.78
  6. Step 6: Final answer
    x = 983.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.