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Finding the Fourth Proportional to 743.10, 1,118.99 and 682.62

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Solution

The fourth proportional to 743.10, 1,118.99 and 682.62 is: 1,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.10 : 1,118.99 = 682.62 : x
  2. Step 2: Convert to fraction form
    743.10/1,118.99 = 682.62/x
  3. Step 3: Cross multiply
    743.10x = 1,118.99 × 682.62
  4. Step 4: Simplify right side
    743.10x = 763,841.54
  5. Step 5: Solve for x
    x = 763,841.54/743.10
  6. Step 6: Final answer
    x = 1,027.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.