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Finding the Fourth Proportional to 1,278.69, 1,918.94 and 693.88

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Solution

The fourth proportional to 1,278.69, 1,918.94 and 693.88 is: 1,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.69 : 1,918.94 = 693.88 : x
  2. Step 2: Convert to fraction form
    1,278.69/1,918.94 = 693.88/x
  3. Step 3: Cross multiply
    1,278.69x = 1,918.94 × 693.88
  4. Step 4: Simplify right side
    1,278.69x = 1,331,514.09
  5. Step 5: Solve for x
    x = 1,331,514.09/1,278.69
  6. Step 6: Final answer
    x = 1,041.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.