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Finding the Fourth Proportional to 1,116.41, 1,673.44 and 422.64

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Solution

The fourth proportional to 1,116.41, 1,673.44 and 422.64 is: 633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.41 : 1,673.44 = 422.64 : x
  2. Step 2: Convert to fraction form
    1,116.41/1,673.44 = 422.64/x
  3. Step 3: Cross multiply
    1,116.41x = 1,673.44 × 422.64
  4. Step 4: Simplify right side
    1,116.41x = 707,261.63
  5. Step 5: Solve for x
    x = 707,261.63/1,116.41
  6. Step 6: Final answer
    x = 633.52

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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.