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Finding the Fourth Proportional to 785.43, 1,083.78 and 523.80

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Solution

The fourth proportional to 785.43, 1,083.78 and 523.80 is: 722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.43 : 1,083.78 = 523.80 : x
  2. Step 2: Convert to fraction form
    785.43/1,083.78 = 523.80/x
  3. Step 3: Cross multiply
    785.43x = 1,083.78 × 523.80
  4. Step 4: Simplify right side
    785.43x = 567,683.96
  5. Step 5: Solve for x
    x = 567,683.96/785.43
  6. Step 6: Final answer
    x = 722.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.