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Finding the Fourth Proportional to 985.46, 1,352.68 and 872.48

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Solution

The fourth proportional to 985.46, 1,352.68 and 872.48 is: 1,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.46 : 1,352.68 = 872.48 : x
  2. Step 2: Convert to fraction form
    985.46/1,352.68 = 872.48/x
  3. Step 3: Cross multiply
    985.46x = 1,352.68 × 872.48
  4. Step 4: Simplify right side
    985.46x = 1,180,186.25
  5. Step 5: Solve for x
    x = 1,180,186.25/985.46
  6. Step 6: Final answer
    x = 1,197.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.