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Finding the Fourth Proportional to 835.71, 1,151.94 and 696.30

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Solution

The fourth proportional to 835.71, 1,151.94 and 696.30 is: 959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.71 : 1,151.94 = 696.30 : x
  2. Step 2: Convert to fraction form
    835.71/1,151.94 = 696.30/x
  3. Step 3: Cross multiply
    835.71x = 1,151.94 × 696.30
  4. Step 4: Simplify right side
    835.71x = 802,095.82
  5. Step 5: Solve for x
    x = 802,095.82/835.71
  6. Step 6: Final answer
    x = 959.78

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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.