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Finding the Fourth Proportional to 603.99, 829.78 and 581.11

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Solution

The fourth proportional to 603.99, 829.78 and 581.11 is: 798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.99 : 829.78 = 581.11 : x
  2. Step 2: Convert to fraction form
    603.99/829.78 = 581.11/x
  3. Step 3: Cross multiply
    603.99x = 829.78 × 581.11
  4. Step 4: Simplify right side
    603.99x = 482,189.93
  5. Step 5: Solve for x
    x = 482,189.93/603.99
  6. Step 6: Final answer
    x = 798.34

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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.