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Finding the Fourth Proportional to 873.72, 1,310.76 and 730.44

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Solution

The fourth proportional to 873.72, 1,310.76 and 730.44 is: 1,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.72 : 1,310.76 = 730.44 : x
  2. Step 2: Convert to fraction form
    873.72/1,310.76 = 730.44/x
  3. Step 3: Cross multiply
    873.72x = 1,310.76 × 730.44
  4. Step 4: Simplify right side
    873.72x = 957,431.53
  5. Step 5: Solve for x
    x = 957,431.53/873.72
  6. Step 6: Final answer
    x = 1,095.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.