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Finding the Fourth Proportional to 2,291.44, 3,435.12 and 830.27

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Solution

The fourth proportional to 2,291.44, 3,435.12 and 830.27 is: 1,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.44 : 3,435.12 = 830.27 : x
  2. Step 2: Convert to fraction form
    2,291.44/3,435.12 = 830.27/x
  3. Step 3: Cross multiply
    2,291.44x = 3,435.12 × 830.27
  4. Step 4: Simplify right side
    2,291.44x = 2,852,059.91
  5. Step 5: Solve for x
    x = 2,852,059.91/2,291.44
  6. Step 6: Final answer
    x = 1,244.66

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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.