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Finding the Fourth Proportional to 975.43, 1,343.95 and 851.23

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Solution

The fourth proportional to 975.43, 1,343.95 and 851.23 is: 1,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.43 : 1,343.95 = 851.23 : x
  2. Step 2: Convert to fraction form
    975.43/1,343.95 = 851.23/x
  3. Step 3: Cross multiply
    975.43x = 1,343.95 × 851.23
  4. Step 4: Simplify right side
    975.43x = 1,144,010.56
  5. Step 5: Solve for x
    x = 1,144,010.56/975.43
  6. Step 6: Final answer
    x = 1,172.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.