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Finding the Fourth Proportional to 580.56, 874.29 and 523.44

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Solution

The fourth proportional to 580.56, 874.29 and 523.44 is: 788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 874.29 = 523.44 : x
  2. Step 2: Convert to fraction form
    580.56/874.29 = 523.44/x
  3. Step 3: Cross multiply
    580.56x = 874.29 × 523.44
  4. Step 4: Simplify right side
    580.56x = 457,638.36
  5. Step 5: Solve for x
    x = 457,638.36/580.56
  6. Step 6: Final answer
    x = 788.27

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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.