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Finding the Fourth Proportional to 744.92, 1,116.03 and 311.30

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Solution

The fourth proportional to 744.92, 1,116.03 and 311.30 is: 466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.92 : 1,116.03 = 311.30 : x
  2. Step 2: Convert to fraction form
    744.92/1,116.03 = 311.30/x
  3. Step 3: Cross multiply
    744.92x = 1,116.03 × 311.30
  4. Step 4: Simplify right side
    744.92x = 347,420.14
  5. Step 5: Solve for x
    x = 347,420.14/744.92
  6. Step 6: Final answer
    x = 466.39

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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.