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Finding the Fourth Proportional to 896.21, 1,238.38 and 701.21

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Solution

The fourth proportional to 896.21, 1,238.38 and 701.21 is: 968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.21 : 1,238.38 = 701.21 : x
  2. Step 2: Convert to fraction form
    896.21/1,238.38 = 701.21/x
  3. Step 3: Cross multiply
    896.21x = 1,238.38 × 701.21
  4. Step 4: Simplify right side
    896.21x = 868,356.49
  5. Step 5: Solve for x
    x = 868,356.49/896.21
  6. Step 6: Final answer
    x = 968.92

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1.5x scale

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.