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Finding the Fourth Proportional to 1,728.62, 2,384.70 and 1,065.22

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Solution

The fourth proportional to 1,728.62, 2,384.70 and 1,065.22 is: 1,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.62 : 2,384.70 = 1,065.22 : x
  2. Step 2: Convert to fraction form
    1,728.62/2,384.70 = 1,065.22/x
  3. Step 3: Cross multiply
    1,728.62x = 2,384.70 × 1,065.22
  4. Step 4: Simplify right side
    1,728.62x = 2,540,230.13
  5. Step 5: Solve for x
    x = 2,540,230.13/1,728.62
  6. Step 6: Final answer
    x = 1,469.51

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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.