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Finding the Fourth Proportional to 889.46, 1,227.15 and 516.32

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Solution

The fourth proportional to 889.46, 1,227.15 and 516.32 is: 712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.46 : 1,227.15 = 516.32 : x
  2. Step 2: Convert to fraction form
    889.46/1,227.15 = 516.32/x
  3. Step 3: Cross multiply
    889.46x = 1,227.15 × 516.32
  4. Step 4: Simplify right side
    889.46x = 633,602.09
  5. Step 5: Solve for x
    x = 633,602.09/889.46
  6. Step 6: Final answer
    x = 712.34

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Double scale
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1.5x scale

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.