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Finding the Fourth Proportional to 1,151.90, 1,728.15 and 330.23

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Solution

The fourth proportional to 1,151.90, 1,728.15 and 330.23 is: 495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.90 : 1,728.15 = 330.23 : x
  2. Step 2: Convert to fraction form
    1,151.90/1,728.15 = 330.23/x
  3. Step 3: Cross multiply
    1,151.90x = 1,728.15 × 330.23
  4. Step 4: Simplify right side
    1,151.90x = 570,686.97
  5. Step 5: Solve for x
    x = 570,686.97/1,151.90
  6. Step 6: Final answer
    x = 495.43

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Double scale
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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.