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Finding the Fourth Proportional to 743.97, 1,116.26 and 670.16

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Solution

The fourth proportional to 743.97, 1,116.26 and 670.16 is: 1,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.97 : 1,116.26 = 670.16 : x
  2. Step 2: Convert to fraction form
    743.97/1,116.26 = 670.16/x
  3. Step 3: Cross multiply
    743.97x = 1,116.26 × 670.16
  4. Step 4: Simplify right side
    743.97x = 748,072.80
  5. Step 5: Solve for x
    x = 748,072.80/743.97
  6. Step 6: Final answer
    x = 1,005.51

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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.