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Finding the Fourth Proportional to 1,291.26, 1,783.02 and 1,041.78

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Solution

The fourth proportional to 1,291.26, 1,783.02 and 1,041.78 is: 1,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.26 : 1,783.02 = 1,041.78 : x
  2. Step 2: Convert to fraction form
    1,291.26/1,783.02 = 1,041.78/x
  3. Step 3: Cross multiply
    1,291.26x = 1,783.02 × 1,041.78
  4. Step 4: Simplify right side
    1,291.26x = 1,857,514.58
  5. Step 5: Solve for x
    x = 1,857,514.58/1,291.26
  6. Step 6: Final answer
    x = 1,438.53

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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.