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Finding the Fourth Proportional to 451.49, 674.48 and 378.59

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Solution

The fourth proportional to 451.49, 674.48 and 378.59 is: 565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.49 : 674.48 = 378.59 : x
  2. Step 2: Convert to fraction form
    451.49/674.48 = 378.59/x
  3. Step 3: Cross multiply
    451.49x = 674.48 × 378.59
  4. Step 4: Simplify right side
    451.49x = 255,348.96
  5. Step 5: Solve for x
    x = 255,348.96/451.49
  6. Step 6: Final answer
    x = 565.58

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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.