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Finding the Fourth Proportional to 536.51, 805.22 and 382.81

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Solution

The fourth proportional to 536.51, 805.22 and 382.81 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.51 : 805.22 = 382.81 : x
  2. Step 2: Convert to fraction form
    536.51/805.22 = 382.81/x
  3. Step 3: Cross multiply
    536.51x = 805.22 × 382.81
  4. Step 4: Simplify right side
    536.51x = 308,246.27
  5. Step 5: Solve for x
    x = 308,246.27/536.51
  6. Step 6: Final answer
    x = 574.54

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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.