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Finding the Fourth Proportional to 779.72, 1,075.99 and 443.68

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Solution

The fourth proportional to 779.72, 1,075.99 and 443.68 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.72 : 1,075.99 = 443.68 : x
  2. Step 2: Convert to fraction form
    779.72/1,075.99 = 443.68/x
  3. Step 3: Cross multiply
    779.72x = 1,075.99 × 443.68
  4. Step 4: Simplify right side
    779.72x = 477,387.64
  5. Step 5: Solve for x
    x = 477,387.64/779.72
  6. Step 6: Final answer
    x = 612.26

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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.