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Finding the Fourth Proportional to 829.65, 1,244.34 and 274.35

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Solution

The fourth proportional to 829.65, 1,244.34 and 274.35 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.65 : 1,244.34 = 274.35 : x
  2. Step 2: Convert to fraction form
    829.65/1,244.34 = 274.35/x
  3. Step 3: Cross multiply
    829.65x = 1,244.34 × 274.35
  4. Step 4: Simplify right side
    829.65x = 341,384.68
  5. Step 5: Solve for x
    x = 341,384.68/829.65
  6. Step 6: Final answer
    x = 411.48

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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.