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Finding the Fourth Proportional to 829.28, 1,243.77 and 309.16

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Solution

The fourth proportional to 829.28, 1,243.77 and 309.16 is: 463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,243.77 = 309.16 : x
  2. Step 2: Convert to fraction form
    829.28/1,243.77 = 309.16/x
  3. Step 3: Cross multiply
    829.28x = 1,243.77 × 309.16
  4. Step 4: Simplify right side
    829.28x = 384,523.93
  5. Step 5: Solve for x
    x = 384,523.93/829.28
  6. Step 6: Final answer
    x = 463.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.