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Finding the Fourth Proportional to 836.21, 1,152.63 and 696.79

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Solution

The fourth proportional to 836.21, 1,152.63 and 696.79 is: 960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.21 : 1,152.63 = 696.79 : x
  2. Step 2: Convert to fraction form
    836.21/1,152.63 = 696.79/x
  3. Step 3: Cross multiply
    836.21x = 1,152.63 × 696.79
  4. Step 4: Simplify right side
    836.21x = 803,141.06
  5. Step 5: Solve for x
    x = 803,141.06/836.21
  6. Step 6: Final answer
    x = 960.45

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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.