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Finding the Fourth Proportional to 872.46, 1,300.74 and 850.02

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Solution

The fourth proportional to 872.46, 1,300.74 and 850.02 is: 1,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.46 : 1,300.74 = 850.02 : x
  2. Step 2: Convert to fraction form
    872.46/1,300.74 = 850.02/x
  3. Step 3: Cross multiply
    872.46x = 1,300.74 × 850.02
  4. Step 4: Simplify right side
    872.46x = 1,105,655.01
  5. Step 5: Solve for x
    x = 1,105,655.01/872.46
  6. Step 6: Final answer
    x = 1,267.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.