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Finding the Fourth Proportional to 852.04, 1,180.75 and 839.08

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Solution

The fourth proportional to 852.04, 1,180.75 and 839.08 is: 1,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.04 : 1,180.75 = 839.08 : x
  2. Step 2: Convert to fraction form
    852.04/1,180.75 = 839.08/x
  3. Step 3: Cross multiply
    852.04x = 1,180.75 × 839.08
  4. Step 4: Simplify right side
    852.04x = 990,743.71
  5. Step 5: Solve for x
    x = 990,743.71/852.04
  6. Step 6: Final answer
    x = 1,162.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.