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Finding the Fourth Proportional to 768, 1,059.36 and 620.82

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Solution

The fourth proportional to 768, 1,059.36 and 620.82 is: 856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 1,059.36 = 620.82 : x
  2. Step 2: Convert to fraction form
    768/1,059.36 = 620.82/x
  3. Step 3: Cross multiply
    768x = 1,059.36 × 620.82
  4. Step 4: Simplify right side
    768x = 657,671.88
  5. Step 5: Solve for x
    x = 657,671.88/768
  6. Step 6: Final answer
    x = 856.34

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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.