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Finding the Fourth Proportional to 1,168.22, 1,752.43 and 388.06

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Solution

The fourth proportional to 1,168.22, 1,752.43 and 388.06 is: 582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.22 : 1,752.43 = 388.06 : x
  2. Step 2: Convert to fraction form
    1,168.22/1,752.43 = 388.06/x
  3. Step 3: Cross multiply
    1,168.22x = 1,752.43 × 388.06
  4. Step 4: Simplify right side
    1,168.22x = 680,039.22
  5. Step 5: Solve for x
    x = 680,039.22/1,168.22
  6. Step 6: Final answer
    x = 582.12

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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.