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Finding the Fourth Proportional to 1,286.03, 1,774.58 and 726.45

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Solution

The fourth proportional to 1,286.03, 1,774.58 and 726.45 is: 1,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.03 : 1,774.58 = 726.45 : x
  2. Step 2: Convert to fraction form
    1,286.03/1,774.58 = 726.45/x
  3. Step 3: Cross multiply
    1,286.03x = 1,774.58 × 726.45
  4. Step 4: Simplify right side
    1,286.03x = 1,289,140.01
  5. Step 5: Solve for x
    x = 1,289,140.01/1,286.03
  6. Step 6: Final answer
    x = 1,002.42

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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.