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Finding the Fourth Proportional to 451.11, 673.12 and 407.37

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Solution

The fourth proportional to 451.11, 673.12 and 407.37 is: 607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.11 : 673.12 = 407.37 : x
  2. Step 2: Convert to fraction form
    451.11/673.12 = 407.37/x
  3. Step 3: Cross multiply
    451.11x = 673.12 × 407.37
  4. Step 4: Simplify right side
    451.11x = 274,208.89
  5. Step 5: Solve for x
    x = 274,208.89/451.11
  6. Step 6: Final answer
    x = 607.85

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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.