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Finding the Fourth Proportional to 450.51, 673.93 and 305.92

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Solution

The fourth proportional to 450.51, 673.93 and 305.92 is: 457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.51 : 673.93 = 305.92 : x
  2. Step 2: Convert to fraction form
    450.51/673.93 = 305.92/x
  3. Step 3: Cross multiply
    450.51x = 673.93 × 305.92
  4. Step 4: Simplify right side
    450.51x = 206,168.67
  5. Step 5: Solve for x
    x = 206,168.67/450.51
  6. Step 6: Final answer
    x = 457.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.