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Finding the Fourth Proportional to 536.27, 805.08 and 414.61

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Solution

The fourth proportional to 536.27, 805.08 and 414.61 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.27 : 805.08 = 414.61 : x
  2. Step 2: Convert to fraction form
    536.27/805.08 = 414.61/x
  3. Step 3: Cross multiply
    536.27x = 805.08 × 414.61
  4. Step 4: Simplify right side
    536.27x = 333,790.19
  5. Step 5: Solve for x
    x = 333,790.19/536.27
  6. Step 6: Final answer
    x = 622.44

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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.