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Finding the Fourth Proportional to 1,880.41, 2,820.86 and 726.25

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Solution

The fourth proportional to 1,880.41, 2,820.86 and 726.25 is: 1,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.41 : 2,820.86 = 726.25 : x
  2. Step 2: Convert to fraction form
    1,880.41/2,820.86 = 726.25/x
  3. Step 3: Cross multiply
    1,880.41x = 2,820.86 × 726.25
  4. Step 4: Simplify right side
    1,880.41x = 2,048,645.94
  5. Step 5: Solve for x
    x = 2,048,645.94/1,880.41
  6. Step 6: Final answer
    x = 1,089.47

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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.