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Finding the Fourth Proportional to 446.06, 664.71 and 431.38

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Solution

The fourth proportional to 446.06, 664.71 and 431.38 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 664.71 = 431.38 : x
  2. Step 2: Convert to fraction form
    446.06/664.71 = 431.38/x
  3. Step 3: Cross multiply
    446.06x = 664.71 × 431.38
  4. Step 4: Simplify right side
    446.06x = 286,738.07
  5. Step 5: Solve for x
    x = 286,738.07/446.06
  6. Step 6: Final answer
    x = 642.83

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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.