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Finding the Fourth Proportional to 538.96, 744.08 and 364.56

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Solution

The fourth proportional to 538.96, 744.08 and 364.56 is: 503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.96 : 744.08 = 364.56 : x
  2. Step 2: Convert to fraction form
    538.96/744.08 = 364.56/x
  3. Step 3: Cross multiply
    538.96x = 744.08 × 364.56
  4. Step 4: Simplify right side
    538.96x = 271,261.80
  5. Step 5: Solve for x
    x = 271,261.80/538.96
  6. Step 6: Final answer
    x = 503.31

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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.