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Finding the Fourth Proportional to 940.20, 1,410.20 and 419.72

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Solution

The fourth proportional to 940.20, 1,410.20 and 419.72 is: 629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.20 : 1,410.20 = 419.72 : x
  2. Step 2: Convert to fraction form
    940.20/1,410.20 = 419.72/x
  3. Step 3: Cross multiply
    940.20x = 1,410.20 × 419.72
  4. Step 4: Simplify right side
    940.20x = 591,889.14
  5. Step 5: Solve for x
    x = 591,889.14/940.20
  6. Step 6: Final answer
    x = 629.54

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1.5x scale

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.