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Finding the Fourth Proportional to 779.78, 1,075.92 and 448.22

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Solution

The fourth proportional to 779.78, 1,075.92 and 448.22 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.78 : 1,075.92 = 448.22 : x
  2. Step 2: Convert to fraction form
    779.78/1,075.92 = 448.22/x
  3. Step 3: Cross multiply
    779.78x = 1,075.92 × 448.22
  4. Step 4: Simplify right side
    779.78x = 482,243.48
  5. Step 5: Solve for x
    x = 482,243.48/779.78
  6. Step 6: Final answer
    x = 618.44

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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.