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Finding the Fourth Proportional to 896.43, 1,236.81 and 602.13

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Solution

The fourth proportional to 896.43, 1,236.81 and 602.13 is: 830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.43 : 1,236.81 = 602.13 : x
  2. Step 2: Convert to fraction form
    896.43/1,236.81 = 602.13/x
  3. Step 3: Cross multiply
    896.43x = 1,236.81 × 602.13
  4. Step 4: Simplify right side
    896.43x = 744,720.41
  5. Step 5: Solve for x
    x = 744,720.41/896.43
  6. Step 6: Final answer
    x = 830.76

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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.