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Finding the Fourth Proportional to 1,286.68, 1,775.10 and 820.84

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Solution

The fourth proportional to 1,286.68, 1,775.10 and 820.84 is: 1,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.68 : 1,775.10 = 820.84 : x
  2. Step 2: Convert to fraction form
    1,286.68/1,775.10 = 820.84/x
  3. Step 3: Cross multiply
    1,286.68x = 1,775.10 × 820.84
  4. Step 4: Simplify right side
    1,286.68x = 1,457,073.08
  5. Step 5: Solve for x
    x = 1,457,073.08/1,286.68
  6. Step 6: Final answer
    x = 1,132.43

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1.5x scale

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.