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Finding the Fourth Proportional to 969.88, 1,453.41 and 726.28

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Solution

The fourth proportional to 969.88, 1,453.41 and 726.28 is: 1,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.88 : 1,453.41 = 726.28 : x
  2. Step 2: Convert to fraction form
    969.88/1,453.41 = 726.28/x
  3. Step 3: Cross multiply
    969.88x = 1,453.41 × 726.28
  4. Step 4: Simplify right side
    969.88x = 1,055,582.61
  5. Step 5: Solve for x
    x = 1,055,582.61/969.88
  6. Step 6: Final answer
    x = 1,088.36

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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.