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Finding the Fourth Proportional to 583.12, 878.98 and 523.60

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Solution

The fourth proportional to 583.12, 878.98 and 523.60 is: 789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.12 : 878.98 = 523.60 : x
  2. Step 2: Convert to fraction form
    583.12/878.98 = 523.60/x
  3. Step 3: Cross multiply
    583.12x = 878.98 × 523.60
  4. Step 4: Simplify right side
    583.12x = 460,233.93
  5. Step 5: Solve for x
    x = 460,233.93/583.12
  6. Step 6: Final answer
    x = 789.26

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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.