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Finding the Fourth Proportional to 603, 827.14 and 597.80

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Solution

The fourth proportional to 603, 827.14 and 597.80 is: 820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603 : 827.14 = 597.80 : x
  2. Step 2: Convert to fraction form
    603/827.14 = 597.80/x
  3. Step 3: Cross multiply
    603x = 827.14 × 597.80
  4. Step 4: Simplify right side
    603x = 494,464.29
  5. Step 5: Solve for x
    x = 494,464.29/603
  6. Step 6: Final answer
    x = 820.01

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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.