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Finding the Fourth Proportional to 836.28, 1,256.67 and 713.28

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Solution

The fourth proportional to 836.28, 1,256.67 and 713.28 is: 1,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.28 : 1,256.67 = 713.28 : x
  2. Step 2: Convert to fraction form
    836.28/1,256.67 = 713.28/x
  3. Step 3: Cross multiply
    836.28x = 1,256.67 × 713.28
  4. Step 4: Simplify right side
    836.28x = 896,357.58
  5. Step 5: Solve for x
    x = 896,357.58/836.28
  6. Step 6: Final answer
    x = 1,071.84

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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.