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Finding the Fourth Proportional to 436.09, 656.86 and 397.81

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Solution

The fourth proportional to 436.09, 656.86 and 397.81 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.09 : 656.86 = 397.81 : x
  2. Step 2: Convert to fraction form
    436.09/656.86 = 397.81/x
  3. Step 3: Cross multiply
    436.09x = 656.86 × 397.81
  4. Step 4: Simplify right side
    436.09x = 261,305.48
  5. Step 5: Solve for x
    x = 261,305.48/436.09
  6. Step 6: Final answer
    x = 599.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.