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Finding the Fourth Proportional to 744.03, 1,116.09 and 311.04

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Solution

The fourth proportional to 744.03, 1,116.09 and 311.04 is: 466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.03 : 1,116.09 = 311.04 : x
  2. Step 2: Convert to fraction form
    744.03/1,116.09 = 311.04/x
  3. Step 3: Cross multiply
    744.03x = 1,116.09 × 311.04
  4. Step 4: Simplify right side
    744.03x = 347,148.63
  5. Step 5: Solve for x
    x = 347,148.63/744.03
  6. Step 6: Final answer
    x = 466.58

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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.