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Finding the Fourth Proportional to 896.19, 1,236.43 and 581.84

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Solution

The fourth proportional to 896.19, 1,236.43 and 581.84 is: 802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.19 : 1,236.43 = 581.84 : x
  2. Step 2: Convert to fraction form
    896.19/1,236.43 = 581.84/x
  3. Step 3: Cross multiply
    896.19x = 1,236.43 × 581.84
  4. Step 4: Simplify right side
    896.19x = 719,404.43
  5. Step 5: Solve for x
    x = 719,404.43/896.19
  6. Step 6: Final answer
    x = 802.74

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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.