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Finding the Fourth Proportional to 852.03, 1,278.03 and 689.82

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Solution

The fourth proportional to 852.03, 1,278.03 and 689.82 is: 1,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.03 : 1,278.03 = 689.82 : x
  2. Step 2: Convert to fraction form
    852.03/1,278.03 = 689.82/x
  3. Step 3: Cross multiply
    852.03x = 1,278.03 × 689.82
  4. Step 4: Simplify right side
    852.03x = 881,610.65
  5. Step 5: Solve for x
    x = 881,610.65/852.03
  6. Step 6: Final answer
    x = 1,034.72

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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.