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Finding the Fourth Proportional to 538.94, 743.67 and 352.13

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Solution

The fourth proportional to 538.94, 743.67 and 352.13 is: 485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 743.67 = 352.13 : x
  2. Step 2: Convert to fraction form
    538.94/743.67 = 352.13/x
  3. Step 3: Cross multiply
    538.94x = 743.67 × 352.13
  4. Step 4: Simplify right side
    538.94x = 261,864.80
  5. Step 5: Solve for x
    x = 261,864.80/538.94
  6. Step 6: Final answer
    x = 485.89

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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.