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Finding the Fourth Proportional to 1,116.41, 1,674.36 and 423.15

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Solution

The fourth proportional to 1,116.41, 1,674.36 and 423.15 is: 634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.41 : 1,674.36 = 423.15 : x
  2. Step 2: Convert to fraction form
    1,116.41/1,674.36 = 423.15/x
  3. Step 3: Cross multiply
    1,116.41x = 1,674.36 × 423.15
  4. Step 4: Simplify right side
    1,116.41x = 708,505.43
  5. Step 5: Solve for x
    x = 708,505.43/1,116.41
  6. Step 6: Final answer
    x = 634.63

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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.