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Finding the Fourth Proportional to 451.68, 622.80 and 419.28

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Solution

The fourth proportional to 451.68, 622.80 and 419.28 is: 578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 622.80 = 419.28 : x
  2. Step 2: Convert to fraction form
    451.68/622.80 = 419.28/x
  3. Step 3: Cross multiply
    451.68x = 622.80 × 419.28
  4. Step 4: Simplify right side
    451.68x = 261,127.58
  5. Step 5: Solve for x
    x = 261,127.58/451.68
  6. Step 6: Final answer
    x = 578.13

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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.