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Finding the Fourth Proportional to 632.36, 872.72 and 455.27

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Solution

The fourth proportional to 632.36, 872.72 and 455.27 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 872.72 = 455.27 : x
  2. Step 2: Convert to fraction form
    632.36/872.72 = 455.27/x
  3. Step 3: Cross multiply
    632.36x = 872.72 × 455.27
  4. Step 4: Simplify right side
    632.36x = 397,316.59
  5. Step 5: Solve for x
    x = 397,316.59/632.36
  6. Step 6: Final answer
    x = 628.31

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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.