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Finding the Fourth Proportional to 1,520.94, 2,281.60 and 480.67

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Solution

The fourth proportional to 1,520.94, 2,281.60 and 480.67 is: 721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.94 : 2,281.60 = 480.67 : x
  2. Step 2: Convert to fraction form
    1,520.94/2,281.60 = 480.67/x
  3. Step 3: Cross multiply
    1,520.94x = 2,281.60 × 480.67
  4. Step 4: Simplify right side
    1,520.94x = 1,096,691.57
  5. Step 5: Solve for x
    x = 1,096,691.57/1,520.94
  6. Step 6: Final answer
    x = 721.06

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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.