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Finding the Fourth Proportional to 873.06, 1,311.41 and 736.37

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Solution

The fourth proportional to 873.06, 1,311.41 and 736.37 is: 1,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,311.41 = 736.37 : x
  2. Step 2: Convert to fraction form
    873.06/1,311.41 = 736.37/x
  3. Step 3: Cross multiply
    873.06x = 1,311.41 × 736.37
  4. Step 4: Simplify right side
    873.06x = 965,683.18
  5. Step 5: Solve for x
    x = 965,683.18/873.06
  6. Step 6: Final answer
    x = 1,106.10

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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.