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Finding the Fourth Proportional to 2,235.63, 3,353.45 and 696.75

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Solution

The fourth proportional to 2,235.63, 3,353.45 and 696.75 is: 1,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.63 : 3,353.45 = 696.75 : x
  2. Step 2: Convert to fraction form
    2,235.63/3,353.45 = 696.75/x
  3. Step 3: Cross multiply
    2,235.63x = 3,353.45 × 696.75
  4. Step 4: Simplify right side
    2,235.63x = 2,336,512.80
  5. Step 5: Solve for x
    x = 2,336,512.80/2,235.63
  6. Step 6: Final answer
    x = 1,045.13

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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.