Home / 1,116.35-1,674.30-422.78

Finding the Fourth Proportional to 1,116.35, 1,674.30 and 422.78

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Solution

The fourth proportional to 1,116.35, 1,674.30 and 422.78 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.35 : 1,674.30 = 422.78 : x
  2. Step 2: Convert to fraction form
    1,116.35/1,674.30 = 422.78/x
  3. Step 3: Cross multiply
    1,116.35x = 1,674.30 × 422.78
  4. Step 4: Simplify right side
    1,116.35x = 707,854.91
  5. Step 5: Solve for x
    x = 707,854.91/1,116.35
  6. Step 6: Final answer
    x = 634.08

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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.