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Finding the Fourth Proportional to 940.58, 1,411.21 and 420.54

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Solution

The fourth proportional to 940.58, 1,411.21 and 420.54 is: 630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.58 : 1,411.21 = 420.54 : x
  2. Step 2: Convert to fraction form
    940.58/1,411.21 = 420.54/x
  3. Step 3: Cross multiply
    940.58x = 1,411.21 × 420.54
  4. Step 4: Simplify right side
    940.58x = 593,469.20
  5. Step 5: Solve for x
    x = 593,469.20/940.58
  6. Step 6: Final answer
    x = 630.96

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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.