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Finding the Fourth Proportional to 780.82, 1,077.56 and 449.32

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Solution

The fourth proportional to 780.82, 1,077.56 and 449.32 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.82 : 1,077.56 = 449.32 : x
  2. Step 2: Convert to fraction form
    780.82/1,077.56 = 449.32/x
  3. Step 3: Cross multiply
    780.82x = 1,077.56 × 449.32
  4. Step 4: Simplify right side
    780.82x = 484,169.26
  5. Step 5: Solve for x
    x = 484,169.26/780.82
  6. Step 6: Final answer
    x = 620.08

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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.