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Finding the Fourth Proportional to 602, 825.77 and 596.80

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Solution

The fourth proportional to 602, 825.77 and 596.80 is: 818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 825.77 = 596.80 : x
  2. Step 2: Convert to fraction form
    602/825.77 = 596.80/x
  3. Step 3: Cross multiply
    602x = 825.77 × 596.80
  4. Step 4: Simplify right side
    602x = 492,816.55
  5. Step 5: Solve for x
    x = 492,816.55/602
  6. Step 6: Final answer
    x = 818.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.