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Finding the Fourth Proportional to 451.56, 674.10 and 419.44

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Solution

The fourth proportional to 451.56, 674.10 and 419.44 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.56 : 674.10 = 419.44 : x
  2. Step 2: Convert to fraction form
    451.56/674.10 = 419.44/x
  3. Step 3: Cross multiply
    451.56x = 674.10 × 419.44
  4. Step 4: Simplify right side
    451.56x = 282,742.82
  5. Step 5: Solve for x
    x = 282,742.82/451.56
  6. Step 6: Final answer
    x = 626.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.