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Finding the Fourth Proportional to 434.09, 653.47 and 396.42

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Solution

The fourth proportional to 434.09, 653.47 and 396.42 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.09 : 653.47 = 396.42 : x
  2. Step 2: Convert to fraction form
    434.09/653.47 = 396.42/x
  3. Step 3: Cross multiply
    434.09x = 653.47 × 396.42
  4. Step 4: Simplify right side
    434.09x = 259,049.07
  5. Step 5: Solve for x
    x = 259,049.07/434.09
  6. Step 6: Final answer
    x = 596.77

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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.