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Finding the Fourth Proportional to 896.35, 1,236.18 and 581.50

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Solution

The fourth proportional to 896.35, 1,236.18 and 581.50 is: 801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.35 : 1,236.18 = 581.50 : x
  2. Step 2: Convert to fraction form
    896.35/1,236.18 = 581.50/x
  3. Step 3: Cross multiply
    896.35x = 1,236.18 × 581.50
  4. Step 4: Simplify right side
    896.35x = 718,832.49
  5. Step 5: Solve for x
    x = 718,832.49/896.35
  6. Step 6: Final answer
    x = 801.96

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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.