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Finding the Fourth Proportional to 456, 628.44 and 421.20

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Solution

The fourth proportional to 456, 628.44 and 421.20 is: 580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 628.44 = 421.20 : x
  2. Step 2: Convert to fraction form
    456/628.44 = 421.20/x
  3. Step 3: Cross multiply
    456x = 628.44 × 421.20
  4. Step 4: Simplify right side
    456x = 264,698.93
  5. Step 5: Solve for x
    x = 264,698.93/456
  6. Step 6: Final answer
    x = 580.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.