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Finding the Fourth Proportional to 1,286.52, 1,775.07 and 820.50

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Solution

The fourth proportional to 1,286.52, 1,775.07 and 820.50 is: 1,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.52 : 1,775.07 = 820.50 : x
  2. Step 2: Convert to fraction form
    1,286.52/1,775.07 = 820.50/x
  3. Step 3: Cross multiply
    1,286.52x = 1,775.07 × 820.50
  4. Step 4: Simplify right side
    1,286.52x = 1,456,444.94
  5. Step 5: Solve for x
    x = 1,456,444.94/1,286.52
  6. Step 6: Final answer
    x = 1,132.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.