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Finding the Fourth Proportional to 829.76, 1,145.24 and 550.01

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Solution

The fourth proportional to 829.76, 1,145.24 and 550.01 is: 759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.76 : 1,145.24 = 550.01 : x
  2. Step 2: Convert to fraction form
    829.76/1,145.24 = 550.01/x
  3. Step 3: Cross multiply
    829.76x = 1,145.24 × 550.01
  4. Step 4: Simplify right side
    829.76x = 629,884.98
  5. Step 5: Solve for x
    x = 629,884.98/829.76
  6. Step 6: Final answer
    x = 759.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.