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Finding the Fourth Proportional to 602.60, 822.96 and 596.12

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Solution

The fourth proportional to 602.60, 822.96 and 596.12 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.60 : 822.96 = 596.12 : x
  2. Step 2: Convert to fraction form
    602.60/822.96 = 596.12/x
  3. Step 3: Cross multiply
    602.60x = 822.96 × 596.12
  4. Step 4: Simplify right side
    602.60x = 490,582.92
  5. Step 5: Solve for x
    x = 490,582.92/602.60
  6. Step 6: Final answer
    x = 814.11

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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.