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Finding the Fourth Proportional to 852.69, 1,275.39 and 505.20

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Solution

The fourth proportional to 852.69, 1,275.39 and 505.20 is: 755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.69 : 1,275.39 = 505.20 : x
  2. Step 2: Convert to fraction form
    852.69/1,275.39 = 505.20/x
  3. Step 3: Cross multiply
    852.69x = 1,275.39 × 505.20
  4. Step 4: Simplify right side
    852.69x = 644,327.03
  5. Step 5: Solve for x
    x = 644,327.03/852.69
  6. Step 6: Final answer
    x = 755.64

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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.