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Finding the Fourth Proportional to 453.84, 677.70 and 367.26

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Solution

The fourth proportional to 453.84, 677.70 and 367.26 is: 548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.84 : 677.70 = 367.26 : x
  2. Step 2: Convert to fraction form
    453.84/677.70 = 367.26/x
  3. Step 3: Cross multiply
    453.84x = 677.70 × 367.26
  4. Step 4: Simplify right side
    453.84x = 248,892.10
  5. Step 5: Solve for x
    x = 248,892.10/453.84
  6. Step 6: Final answer
    x = 548.41

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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.