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Finding the Fourth Proportional to 754.36, 1,118.20 and 742.75

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Solution

The fourth proportional to 754.36, 1,118.20 and 742.75 is: 1,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.36 : 1,118.20 = 742.75 : x
  2. Step 2: Convert to fraction form
    754.36/1,118.20 = 742.75/x
  3. Step 3: Cross multiply
    754.36x = 1,118.20 × 742.75
  4. Step 4: Simplify right side
    754.36x = 830,543.05
  5. Step 5: Solve for x
    x = 830,543.05/754.36
  6. Step 6: Final answer
    x = 1,100.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.