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Finding the Fourth Proportional to 538.16, 743.09 and 438.59

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Solution

The fourth proportional to 538.16, 743.09 and 438.59 is: 605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 743.09 = 438.59 : x
  2. Step 2: Convert to fraction form
    538.16/743.09 = 438.59/x
  3. Step 3: Cross multiply
    538.16x = 743.09 × 438.59
  4. Step 4: Simplify right side
    538.16x = 325,908.13
  5. Step 5: Solve for x
    x = 325,908.13/538.16
  6. Step 6: Final answer
    x = 605.60

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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.