Home / 1,228.24-1,694.80-704.16

Finding the Fourth Proportional to 1,228.24, 1,694.80 and 704.16

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Solution

The fourth proportional to 1,228.24, 1,694.80 and 704.16 is: 971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.24 : 1,694.80 = 704.16 : x
  2. Step 2: Convert to fraction form
    1,228.24/1,694.80 = 704.16/x
  3. Step 3: Cross multiply
    1,228.24x = 1,694.80 × 704.16
  4. Step 4: Simplify right side
    1,228.24x = 1,193,410.37
  5. Step 5: Solve for x
    x = 1,193,410.37/1,228.24
  6. Step 6: Final answer
    x = 971.64

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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.