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Finding the Fourth Proportional to 453.41, 684.42 and 448.55

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Solution

The fourth proportional to 453.41, 684.42 and 448.55 is: 677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.41 : 684.42 = 448.55 : x
  2. Step 2: Convert to fraction form
    453.41/684.42 = 448.55/x
  3. Step 3: Cross multiply
    453.41x = 684.42 × 448.55
  4. Step 4: Simplify right side
    453.41x = 306,993.17
  5. Step 5: Solve for x
    x = 306,993.17/453.41
  6. Step 6: Final answer
    x = 677.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.