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Finding the Fourth Proportional to 889.36, 1,227.35 and 516.35

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Solution

The fourth proportional to 889.36, 1,227.35 and 516.35 is: 712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.36 : 1,227.35 = 516.35 : x
  2. Step 2: Convert to fraction form
    889.36/1,227.35 = 516.35/x
  3. Step 3: Cross multiply
    889.36x = 1,227.35 × 516.35
  4. Step 4: Simplify right side
    889.36x = 633,742.17
  5. Step 5: Solve for x
    x = 633,742.17/889.36
  6. Step 6: Final answer
    x = 712.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.