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Finding the Fourth Proportional to 873.62, 1,312.48 and 872.24

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Solution

The fourth proportional to 873.62, 1,312.48 and 872.24 is: 1,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.62 : 1,312.48 = 872.24 : x
  2. Step 2: Convert to fraction form
    873.62/1,312.48 = 872.24/x
  3. Step 3: Cross multiply
    873.62x = 1,312.48 × 872.24
  4. Step 4: Simplify right side
    873.62x = 1,144,797.56
  5. Step 5: Solve for x
    x = 1,144,797.56/873.62
  6. Step 6: Final answer
    x = 1,310.41

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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.