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Finding the Fourth Proportional to 453.69, 677.21 and 415.22

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Solution

The fourth proportional to 453.69, 677.21 and 415.22 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 677.21 = 415.22 : x
  2. Step 2: Convert to fraction form
    453.69/677.21 = 415.22/x
  3. Step 3: Cross multiply
    453.69x = 677.21 × 415.22
  4. Step 4: Simplify right side
    453.69x = 281,185.67
  5. Step 5: Solve for x
    x = 281,185.67/453.69
  6. Step 6: Final answer
    x = 619.77

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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.