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Finding the Fourth Proportional to 838.12, 1,256.86 and 453.16

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Solution

The fourth proportional to 838.12, 1,256.86 and 453.16 is: 679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.12 : 1,256.86 = 453.16 : x
  2. Step 2: Convert to fraction form
    838.12/1,256.86 = 453.16/x
  3. Step 3: Cross multiply
    838.12x = 1,256.86 × 453.16
  4. Step 4: Simplify right side
    838.12x = 569,558.68
  5. Step 5: Solve for x
    x = 569,558.68/838.12
  6. Step 6: Final answer
    x = 679.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.