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Finding the Fourth Proportional to 829.78, 1,244.71 and 309.91

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Solution

The fourth proportional to 829.78, 1,244.71 and 309.91 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,244.71 = 309.91 : x
  2. Step 2: Convert to fraction form
    829.78/1,244.71 = 309.91/x
  3. Step 3: Cross multiply
    829.78x = 1,244.71 × 309.91
  4. Step 4: Simplify right side
    829.78x = 385,748.08
  5. Step 5: Solve for x
    x = 385,748.08/829.78
  6. Step 6: Final answer
    x = 464.88

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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.