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Finding the Fourth Proportional to 1,278.58, 1,764.32 and 754.50

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Solution

The fourth proportional to 1,278.58, 1,764.32 and 754.50 is: 1,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.58 : 1,764.32 = 754.50 : x
  2. Step 2: Convert to fraction form
    1,278.58/1,764.32 = 754.50/x
  3. Step 3: Cross multiply
    1,278.58x = 1,764.32 × 754.50
  4. Step 4: Simplify right side
    1,278.58x = 1,331,179.44
  5. Step 5: Solve for x
    x = 1,331,179.44/1,278.58
  6. Step 6: Final answer
    x = 1,041.14

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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.