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Finding the Fourth Proportional to 536.28, 739.26 and 419.64

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Solution

The fourth proportional to 536.28, 739.26 and 419.64 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.28 : 739.26 = 419.64 : x
  2. Step 2: Convert to fraction form
    536.28/739.26 = 419.64/x
  3. Step 3: Cross multiply
    536.28x = 739.26 × 419.64
  4. Step 4: Simplify right side
    536.28x = 310,223.07
  5. Step 5: Solve for x
    x = 310,223.07/536.28
  6. Step 6: Final answer
    x = 578.47

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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.