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Finding the Fourth Proportional to 896.12, 1,236.34 and 564.43

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Solution

The fourth proportional to 896.12, 1,236.34 and 564.43 is: 778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.12 : 1,236.34 = 564.43 : x
  2. Step 2: Convert to fraction form
    896.12/1,236.34 = 564.43/x
  3. Step 3: Cross multiply
    896.12x = 1,236.34 × 564.43
  4. Step 4: Simplify right side
    896.12x = 697,827.39
  5. Step 5: Solve for x
    x = 697,827.39/896.12
  6. Step 6: Final answer
    x = 778.72

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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.