Home / 1,442.28-2,163.46-455.10

Finding the Fourth Proportional to 1,442.28, 2,163.46 and 455.10

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Solution

The fourth proportional to 1,442.28, 2,163.46 and 455.10 is: 682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.28 : 2,163.46 = 455.10 : x
  2. Step 2: Convert to fraction form
    1,442.28/2,163.46 = 455.10/x
  3. Step 3: Cross multiply
    1,442.28x = 2,163.46 × 455.10
  4. Step 4: Simplify right side
    1,442.28x = 984,592.02
  5. Step 5: Solve for x
    x = 984,592.02/1,442.28
  6. Step 6: Final answer
    x = 682.67

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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.