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Finding the Fourth Proportional to 436.42, 602.12 and 394.84

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Solution

The fourth proportional to 436.42, 602.12 and 394.84 is: 544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.42 : 602.12 = 394.84 : x
  2. Step 2: Convert to fraction form
    436.42/602.12 = 394.84/x
  3. Step 3: Cross multiply
    436.42x = 602.12 × 394.84
  4. Step 4: Simplify right side
    436.42x = 237,741.06
  5. Step 5: Solve for x
    x = 237,741.06/436.42
  6. Step 6: Final answer
    x = 544.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.