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Finding the Fourth Proportional to 536.56, 741 and 438.64

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Solution

The fourth proportional to 536.56, 741 and 438.64 is: 605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.56 : 741 = 438.64 : x
  2. Step 2: Convert to fraction form
    536.56/741 = 438.64/x
  3. Step 3: Cross multiply
    536.56x = 741 × 438.64
  4. Step 4: Simplify right side
    536.56x = 325,032.24
  5. Step 5: Solve for x
    x = 325,032.24/536.56
  6. Step 6: Final answer
    x = 605.77

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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.