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Finding the Fourth Proportional to 852.96, 1,272.36 and 716.88

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Solution

The fourth proportional to 852.96, 1,272.36 and 716.88 is: 1,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.96 : 1,272.36 = 716.88 : x
  2. Step 2: Convert to fraction form
    852.96/1,272.36 = 716.88/x
  3. Step 3: Cross multiply
    852.96x = 1,272.36 × 716.88
  4. Step 4: Simplify right side
    852.96x = 912,129.44
  5. Step 5: Solve for x
    x = 912,129.44/852.96
  6. Step 6: Final answer
    x = 1,069.37

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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.