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Finding the Fourth Proportional to 536.56, 805.92 and 521.44

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Solution

The fourth proportional to 536.56, 805.92 and 521.44 is: 783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.56 : 805.92 = 521.44 : x
  2. Step 2: Convert to fraction form
    536.56/805.92 = 521.44/x
  3. Step 3: Cross multiply
    536.56x = 805.92 × 521.44
  4. Step 4: Simplify right side
    536.56x = 420,238.92
  5. Step 5: Solve for x
    x = 420,238.92/536.56
  6. Step 6: Final answer
    x = 783.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.