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Finding the Fourth Proportional to 451.80, 673.80 and 408.06

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Solution

The fourth proportional to 451.80, 673.80 and 408.06 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.80 : 673.80 = 408.06 : x
  2. Step 2: Convert to fraction form
    451.80/673.80 = 408.06/x
  3. Step 3: Cross multiply
    451.80x = 673.80 × 408.06
  4. Step 4: Simplify right side
    451.80x = 274,950.83
  5. Step 5: Solve for x
    x = 274,950.83/451.80
  6. Step 6: Final answer
    x = 608.57

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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.