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Finding the Fourth Proportional to 852.74, 1,276.36 and 441.31

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Solution

The fourth proportional to 852.74, 1,276.36 and 441.31 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.74 : 1,276.36 = 441.31 : x
  2. Step 2: Convert to fraction form
    852.74/1,276.36 = 441.31/x
  3. Step 3: Cross multiply
    852.74x = 1,276.36 × 441.31
  4. Step 4: Simplify right side
    852.74x = 563,270.43
  5. Step 5: Solve for x
    x = 563,270.43/852.74
  6. Step 6: Final answer
    x = 660.54

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1.5x scale

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.