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Finding the Fourth Proportional to 453.79, 677.39 and 419.95

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Solution

The fourth proportional to 453.79, 677.39 and 419.95 is: 626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.79 : 677.39 = 419.95 : x
  2. Step 2: Convert to fraction form
    453.79/677.39 = 419.95/x
  3. Step 3: Cross multiply
    453.79x = 677.39 × 419.95
  4. Step 4: Simplify right side
    453.79x = 284,466.54
  5. Step 5: Solve for x
    x = 284,466.54/453.79
  6. Step 6: Final answer
    x = 626.88

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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.