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Finding the Fourth Proportional to 451.78, 622.29 and 421.54

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Solution

The fourth proportional to 451.78, 622.29 and 421.54 is: 580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.78 : 622.29 = 421.54 : x
  2. Step 2: Convert to fraction form
    451.78/622.29 = 421.54/x
  3. Step 3: Cross multiply
    451.78x = 622.29 × 421.54
  4. Step 4: Simplify right side
    451.78x = 262,320.13
  5. Step 5: Solve for x
    x = 262,320.13/451.78
  6. Step 6: Final answer
    x = 580.64

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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.