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Finding the Fourth Proportional to 852.58, 1,276.71 and 681.22

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Solution

The fourth proportional to 852.58, 1,276.71 and 681.22 is: 1,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.58 : 1,276.71 = 681.22 : x
  2. Step 2: Convert to fraction form
    852.58/1,276.71 = 681.22/x
  3. Step 3: Cross multiply
    852.58x = 1,276.71 × 681.22
  4. Step 4: Simplify right side
    852.58x = 869,720.39
  5. Step 5: Solve for x
    x = 869,720.39/852.58
  6. Step 6: Final answer
    x = 1,020.10

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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.