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Finding the Fourth Proportional to 779.62, 1,075.78 and 448.15

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Solution

The fourth proportional to 779.62, 1,075.78 and 448.15 is: 618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.62 : 1,075.78 = 448.15 : x
  2. Step 2: Convert to fraction form
    779.62/1,075.78 = 448.15/x
  3. Step 3: Cross multiply
    779.62x = 1,075.78 × 448.15
  4. Step 4: Simplify right side
    779.62x = 482,109.24
  5. Step 5: Solve for x
    x = 482,109.24/779.62
  6. Step 6: Final answer
    x = 618.39

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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.