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Finding the Fourth Proportional to 1,103.14, 1,653.81 and 755.62

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Solution

The fourth proportional to 1,103.14, 1,653.81 and 755.62 is: 1,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.14 : 1,653.81 = 755.62 : x
  2. Step 2: Convert to fraction form
    1,103.14/1,653.81 = 755.62/x
  3. Step 3: Cross multiply
    1,103.14x = 1,653.81 × 755.62
  4. Step 4: Simplify right side
    1,103.14x = 1,249,651.91
  5. Step 5: Solve for x
    x = 1,249,651.91/1,103.14
  6. Step 6: Final answer
    x = 1,132.81

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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.