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Finding the Fourth Proportional to 829.66, 1,244.65 and 274.35

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Solution

The fourth proportional to 829.66, 1,244.65 and 274.35 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.66 : 1,244.65 = 274.35 : x
  2. Step 2: Convert to fraction form
    829.66/1,244.65 = 274.35/x
  3. Step 3: Cross multiply
    829.66x = 1,244.65 × 274.35
  4. Step 4: Simplify right side
    829.66x = 341,464.19
  5. Step 5: Solve for x
    x = 341,464.19/829.66
  6. Step 6: Final answer
    x = 411.57

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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.