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Finding the Fourth Proportional to 896, 1,236.48 and 564.44

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Solution

The fourth proportional to 896, 1,236.48 and 564.44 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    896 : 1,236.48 = 564.44 : x
  2. Step 2: Convert to fraction form
    896/1,236.48 = 564.44/x
  3. Step 3: Cross multiply
    896x = 1,236.48 × 564.44
  4. Step 4: Simplify right side
    896x = 697,918.77
  5. Step 5: Solve for x
    x = 697,918.77/896
  6. Step 6: Final answer
    x = 778.93

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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.