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Finding the Fourth Proportional to 979.68, 1,476.80 and 843.84

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Solution

The fourth proportional to 979.68, 1,476.80 and 843.84 is: 1,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.68 : 1,476.80 = 843.84 : x
  2. Step 2: Convert to fraction form
    979.68/1,476.80 = 843.84/x
  3. Step 3: Cross multiply
    979.68x = 1,476.80 × 843.84
  4. Step 4: Simplify right side
    979.68x = 1,246,182.91
  5. Step 5: Solve for x
    x = 1,246,182.91/979.68
  6. Step 6: Final answer
    x = 1,272.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.