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Finding the Fourth Proportional to 852.40, 1,175.73 and 823.83

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Solution

The fourth proportional to 852.40, 1,175.73 and 823.83 is: 1,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,175.73 = 823.83 : x
  2. Step 2: Convert to fraction form
    852.40/1,175.73 = 823.83/x
  3. Step 3: Cross multiply
    852.40x = 1,175.73 × 823.83
  4. Step 4: Simplify right side
    852.40x = 968,601.65
  5. Step 5: Solve for x
    x = 968,601.65/852.40
  6. Step 6: Final answer
    x = 1,136.32

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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.