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Finding the Fourth Proportional to 743.81, 1,116.09 and 512.90

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Solution

The fourth proportional to 743.81, 1,116.09 and 512.90 is: 769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.81 : 1,116.09 = 512.90 : x
  2. Step 2: Convert to fraction form
    743.81/1,116.09 = 512.90/x
  3. Step 3: Cross multiply
    743.81x = 1,116.09 × 512.90
  4. Step 4: Simplify right side
    743.81x = 572,436.98
  5. Step 5: Solve for x
    x = 572,436.98/743.81
  6. Step 6: Final answer
    x = 769.61

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Double scale
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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.