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Finding the Fourth Proportional to 896.28, 1,236.51 and 564.69

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Solution

The fourth proportional to 896.28, 1,236.51 and 564.69 is: 779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.28 : 1,236.51 = 564.69 : x
  2. Step 2: Convert to fraction form
    896.28/1,236.51 = 564.69/x
  3. Step 3: Cross multiply
    896.28x = 1,236.51 × 564.69
  4. Step 4: Simplify right side
    896.28x = 698,244.83
  5. Step 5: Solve for x
    x = 698,244.83/896.28
  6. Step 6: Final answer
    x = 779.05

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Double scale
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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.