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Finding the Fourth Proportional to 1,120.20, 1,678.88 and 470.18

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Solution

The fourth proportional to 1,120.20, 1,678.88 and 470.18 is: 704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.20 : 1,678.88 = 470.18 : x
  2. Step 2: Convert to fraction form
    1,120.20/1,678.88 = 470.18/x
  3. Step 3: Cross multiply
    1,120.20x = 1,678.88 × 470.18
  4. Step 4: Simplify right side
    1,120.20x = 789,375.80
  5. Step 5: Solve for x
    x = 789,375.80/1,120.20
  6. Step 6: Final answer
    x = 704.67

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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.