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Finding the Fourth Proportional to 934, 1,290.46 and 778.48

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Solution

The fourth proportional to 934, 1,290.46 and 778.48 is: 1,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    934 : 1,290.46 = 778.48 : x
  2. Step 2: Convert to fraction form
    934/1,290.46 = 778.48/x
  3. Step 3: Cross multiply
    934x = 1,290.46 × 778.48
  4. Step 4: Simplify right side
    934x = 1,004,597.30
  5. Step 5: Solve for x
    x = 1,004,597.30/934
  6. Step 6: Final answer
    x = 1,075.59

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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.