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Finding the Fourth Proportional to 1,069.34, 1,474.81 and 1,063.87

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Solution

The fourth proportional to 1,069.34, 1,474.81 and 1,063.87 is: 1,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.34 : 1,474.81 = 1,063.87 : x
  2. Step 2: Convert to fraction form
    1,069.34/1,474.81 = 1,063.87/x
  3. Step 3: Cross multiply
    1,069.34x = 1,474.81 × 1,063.87
  4. Step 4: Simplify right side
    1,069.34x = 1,568,999.77
  5. Step 5: Solve for x
    x = 1,568,999.77/1,069.34
  6. Step 6: Final answer
    x = 1,467.27

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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.