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Finding the Fourth Proportional to 779.57, 1,075.80 and 443.51

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Solution

The fourth proportional to 779.57, 1,075.80 and 443.51 is: 612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.57 : 1,075.80 = 443.51 : x
  2. Step 2: Convert to fraction form
    779.57/1,075.80 = 443.51/x
  3. Step 3: Cross multiply
    779.57x = 1,075.80 × 443.51
  4. Step 4: Simplify right side
    779.57x = 477,124.63
  5. Step 5: Solve for x
    x = 477,124.63/779.57
  6. Step 6: Final answer
    x = 612.03

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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.