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Finding the Fourth Proportional to 448.61, 674.46 and 414.78

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Solution

The fourth proportional to 448.61, 674.46 and 414.78 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.61 : 674.46 = 414.78 : x
  2. Step 2: Convert to fraction form
    448.61/674.46 = 414.78/x
  3. Step 3: Cross multiply
    448.61x = 674.46 × 414.78
  4. Step 4: Simplify right side
    448.61x = 279,751.81
  5. Step 5: Solve for x
    x = 279,751.81/448.61
  6. Step 6: Final answer
    x = 623.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.