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Finding the Fourth Proportional to 1,149.44, 1,724.64 and 380

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Solution

The fourth proportional to 1,149.44, 1,724.64 and 380 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.44 : 1,724.64 = 380 : x
  2. Step 2: Convert to fraction form
    1,149.44/1,724.64 = 380/x
  3. Step 3: Cross multiply
    1,149.44x = 1,724.64 × 380
  4. Step 4: Simplify right side
    1,149.44x = 655,363.20
  5. Step 5: Solve for x
    x = 655,363.20/1,149.44
  6. Step 6: Final answer
    x = 570.16

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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.