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Finding the Fourth Proportional to 536.44, 739.72 and 405.24

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Solution

The fourth proportional to 536.44, 739.72 and 405.24 is: 558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 739.72 = 405.24 : x
  2. Step 2: Convert to fraction form
    536.44/739.72 = 405.24/x
  3. Step 3: Cross multiply
    536.44x = 739.72 × 405.24
  4. Step 4: Simplify right side
    536.44x = 299,764.13
  5. Step 5: Solve for x
    x = 299,764.13/536.44
  6. Step 6: Final answer
    x = 558.80

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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.