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Finding the Fourth Proportional to 1,228.03, 1,694.64 and 703.96

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Solution

The fourth proportional to 1,228.03, 1,694.64 and 703.96 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.03 : 1,694.64 = 703.96 : x
  2. Step 2: Convert to fraction form
    1,228.03/1,694.64 = 703.96/x
  3. Step 3: Cross multiply
    1,228.03x = 1,694.64 × 703.96
  4. Step 4: Simplify right side
    1,228.03x = 1,192,958.77
  5. Step 5: Solve for x
    x = 1,192,958.77/1,228.03
  6. Step 6: Final answer
    x = 971.44

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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.