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Finding the Fourth Proportional to 852.06, 1,276.80 and 760.92

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Solution

The fourth proportional to 852.06, 1,276.80 and 760.92 is: 1,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.06 : 1,276.80 = 760.92 : x
  2. Step 2: Convert to fraction form
    852.06/1,276.80 = 760.92/x
  3. Step 3: Cross multiply
    852.06x = 1,276.80 × 760.92
  4. Step 4: Simplify right side
    852.06x = 971,542.66
  5. Step 5: Solve for x
    x = 971,542.66/852.06
  6. Step 6: Final answer
    x = 1,140.23

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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.