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Finding the Fourth Proportional to 779.21, 1,075.44 and 447.72

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Solution

The fourth proportional to 779.21, 1,075.44 and 447.72 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.21 : 1,075.44 = 447.72 : x
  2. Step 2: Convert to fraction form
    779.21/1,075.44 = 447.72/x
  3. Step 3: Cross multiply
    779.21x = 1,075.44 × 447.72
  4. Step 4: Simplify right side
    779.21x = 481,496.00
  5. Step 5: Solve for x
    x = 481,496.00/779.21
  6. Step 6: Final answer
    x = 617.93

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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.