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Finding the Fourth Proportional to 1,799.34, 2,698.09 and 824.61

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Solution

The fourth proportional to 1,799.34, 2,698.09 and 824.61 is: 1,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.34 : 2,698.09 = 824.61 : x
  2. Step 2: Convert to fraction form
    1,799.34/2,698.09 = 824.61/x
  3. Step 3: Cross multiply
    1,799.34x = 2,698.09 × 824.61
  4. Step 4: Simplify right side
    1,799.34x = 2,224,867.87
  5. Step 5: Solve for x
    x = 2,224,867.87/1,799.34
  6. Step 6: Final answer
    x = 1,236.49

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1.5x scale

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.