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Finding the Fourth Proportional to 538.49, 742.83 and 328.59

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Solution

The fourth proportional to 538.49, 742.83 and 328.59 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.49 : 742.83 = 328.59 : x
  2. Step 2: Convert to fraction form
    538.49/742.83 = 328.59/x
  3. Step 3: Cross multiply
    538.49x = 742.83 × 328.59
  4. Step 4: Simplify right side
    538.49x = 244,086.51
  5. Step 5: Solve for x
    x = 244,086.51/538.49
  6. Step 6: Final answer
    x = 453.28

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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.