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Finding the Fourth Proportional to 536.12, 805.42 and 514.26

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Solution

The fourth proportional to 536.12, 805.42 and 514.26 is: 772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 805.42 = 514.26 : x
  2. Step 2: Convert to fraction form
    536.12/805.42 = 514.26/x
  3. Step 3: Cross multiply
    536.12x = 805.42 × 514.26
  4. Step 4: Simplify right side
    536.12x = 414,195.29
  5. Step 5: Solve for x
    x = 414,195.29/536.12
  6. Step 6: Final answer
    x = 772.58

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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.