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Finding the Fourth Proportional to 436.33, 656.88 and 398.06

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Solution

The fourth proportional to 436.33, 656.88 and 398.06 is: 599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.33 : 656.88 = 398.06 : x
  2. Step 2: Convert to fraction form
    436.33/656.88 = 398.06/x
  3. Step 3: Cross multiply
    436.33x = 656.88 × 398.06
  4. Step 4: Simplify right side
    436.33x = 261,477.65
  5. Step 5: Solve for x
    x = 261,477.65/436.33
  6. Step 6: Final answer
    x = 599.27

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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.