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Finding the Fourth Proportional to 452.14, 674.54 and 419.06

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Solution

The fourth proportional to 452.14, 674.54 and 419.06 is: 625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.14 : 674.54 = 419.06 : x
  2. Step 2: Convert to fraction form
    452.14/674.54 = 419.06/x
  3. Step 3: Cross multiply
    452.14x = 674.54 × 419.06
  4. Step 4: Simplify right side
    452.14x = 282,672.73
  5. Step 5: Solve for x
    x = 282,672.73/452.14
  6. Step 6: Final answer
    x = 625.19

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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.