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Finding the Fourth Proportional to 843.56, 1,266.54 and 536.72

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Solution

The fourth proportional to 843.56, 1,266.54 and 536.72 is: 805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.56 : 1,266.54 = 536.72 : x
  2. Step 2: Convert to fraction form
    843.56/1,266.54 = 536.72/x
  3. Step 3: Cross multiply
    843.56x = 1,266.54 × 536.72
  4. Step 4: Simplify right side
    843.56x = 679,777.35
  5. Step 5: Solve for x
    x = 679,777.35/843.56
  6. Step 6: Final answer
    x = 805.84

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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.