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Finding the Fourth Proportional to 779.35, 1,075.48 and 443.24

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Solution

The fourth proportional to 779.35, 1,075.48 and 443.24 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.35 : 1,075.48 = 443.24 : x
  2. Step 2: Convert to fraction form
    779.35/1,075.48 = 443.24/x
  3. Step 3: Cross multiply
    779.35x = 1,075.48 × 443.24
  4. Step 4: Simplify right side
    779.35x = 476,695.76
  5. Step 5: Solve for x
    x = 476,695.76/779.35
  6. Step 6: Final answer
    x = 611.66

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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.