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Finding the Fourth Proportional to 852.86, 1,276.80 and 648.23

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Solution

The fourth proportional to 852.86, 1,276.80 and 648.23 is: 970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.86 : 1,276.80 = 648.23 : x
  2. Step 2: Convert to fraction form
    852.86/1,276.80 = 648.23/x
  3. Step 3: Cross multiply
    852.86x = 1,276.80 × 648.23
  4. Step 4: Simplify right side
    852.86x = 827,660.06
  5. Step 5: Solve for x
    x = 827,660.06/852.86
  6. Step 6: Final answer
    x = 970.45

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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.