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Finding the Fourth Proportional to 748.39, 1,121.60 and 466.84

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Solution

The fourth proportional to 748.39, 1,121.60 and 466.84 is: 699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.39 : 1,121.60 = 466.84 : x
  2. Step 2: Convert to fraction form
    748.39/1,121.60 = 466.84/x
  3. Step 3: Cross multiply
    748.39x = 1,121.60 × 466.84
  4. Step 4: Simplify right side
    748.39x = 523,602.14
  5. Step 5: Solve for x
    x = 523,602.14/748.39
  6. Step 6: Final answer
    x = 699.64

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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.