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Finding the Fourth Proportional to 580.88, 871.53 and 494.88

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Solution

The fourth proportional to 580.88, 871.53 and 494.88 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 871.53 = 494.88 : x
  2. Step 2: Convert to fraction form
    580.88/871.53 = 494.88/x
  3. Step 3: Cross multiply
    580.88x = 871.53 × 494.88
  4. Step 4: Simplify right side
    580.88x = 431,297.64
  5. Step 5: Solve for x
    x = 431,297.64/580.88
  6. Step 6: Final answer
    x = 742.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.