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Finding the Fourth Proportional to 755.22, 1,133.16 and 408.15

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Solution

The fourth proportional to 755.22, 1,133.16 and 408.15 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.22 : 1,133.16 = 408.15 : x
  2. Step 2: Convert to fraction form
    755.22/1,133.16 = 408.15/x
  3. Step 3: Cross multiply
    755.22x = 1,133.16 × 408.15
  4. Step 4: Simplify right side
    755.22x = 462,499.25
  5. Step 5: Solve for x
    x = 462,499.25/755.22
  6. Step 6: Final answer
    x = 612.40

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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.