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Finding the Fourth Proportional to 446.51, 671.13 and 436.94

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Solution

The fourth proportional to 446.51, 671.13 and 436.94 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.51 : 671.13 = 436.94 : x
  2. Step 2: Convert to fraction form
    446.51/671.13 = 436.94/x
  3. Step 3: Cross multiply
    446.51x = 671.13 × 436.94
  4. Step 4: Simplify right side
    446.51x = 293,245.22
  5. Step 5: Solve for x
    x = 293,245.22/446.51
  6. Step 6: Final answer
    x = 656.75

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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.