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Finding the Fourth Proportional to 829.69, 1,244.57 and 309.82

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Solution

The fourth proportional to 829.69, 1,244.57 and 309.82 is: 464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.69 : 1,244.57 = 309.82 : x
  2. Step 2: Convert to fraction form
    829.69/1,244.57 = 309.82/x
  3. Step 3: Cross multiply
    829.69x = 1,244.57 × 309.82
  4. Step 4: Simplify right side
    829.69x = 385,591.13
  5. Step 5: Solve for x
    x = 385,591.13/829.69
  6. Step 6: Final answer
    x = 464.74

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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.