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Finding the Fourth Proportional to 852.97, 1,272.80 and 761.03

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Solution

The fourth proportional to 852.97, 1,272.80 and 761.03 is: 1,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.97 : 1,272.80 = 761.03 : x
  2. Step 2: Convert to fraction form
    852.97/1,272.80 = 761.03/x
  3. Step 3: Cross multiply
    852.97x = 1,272.80 × 761.03
  4. Step 4: Simplify right side
    852.97x = 968,641.21
  5. Step 5: Solve for x
    x = 968,641.21/852.97
  6. Step 6: Final answer
    x = 1,135.61

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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.