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Finding the Fourth Proportional to 1,235.32, 1,704.24 and 704.09

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Solution

The fourth proportional to 1,235.32, 1,704.24 and 704.09 is: 971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.32 : 1,704.24 = 704.09 : x
  2. Step 2: Convert to fraction form
    1,235.32/1,704.24 = 704.09/x
  3. Step 3: Cross multiply
    1,235.32x = 1,704.24 × 704.09
  4. Step 4: Simplify right side
    1,235.32x = 1,199,942.60
  5. Step 5: Solve for x
    x = 1,199,942.60/1,235.32
  6. Step 6: Final answer
    x = 971.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.