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Finding the Fourth Proportional to 450.84, 622.46 and 293.68

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Solution

The fourth proportional to 450.84, 622.46 and 293.68 is: 405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.84 : 622.46 = 293.68 : x
  2. Step 2: Convert to fraction form
    450.84/622.46 = 293.68/x
  3. Step 3: Cross multiply
    450.84x = 622.46 × 293.68
  4. Step 4: Simplify right side
    450.84x = 182,804.05
  5. Step 5: Solve for x
    x = 182,804.05/450.84
  6. Step 6: Final answer
    x = 405.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.