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Finding the Fourth Proportional to 423.09, 634.73 and 277.16

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Solution

The fourth proportional to 423.09, 634.73 and 277.16 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 634.73 = 277.16 : x
  2. Step 2: Convert to fraction form
    423.09/634.73 = 277.16/x
  3. Step 3: Cross multiply
    423.09x = 634.73 × 277.16
  4. Step 4: Simplify right side
    423.09x = 175,917.21
  5. Step 5: Solve for x
    x = 175,917.21/423.09
  6. Step 6: Final answer
    x = 415.79

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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.