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Finding the Fourth Proportional to 735.81, 1,013.41 and 682.96

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Solution

The fourth proportional to 735.81, 1,013.41 and 682.96 is: 940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.81 : 1,013.41 = 682.96 : x
  2. Step 2: Convert to fraction form
    735.81/1,013.41 = 682.96/x
  3. Step 3: Cross multiply
    735.81x = 1,013.41 × 682.96
  4. Step 4: Simplify right side
    735.81x = 692,118.49
  5. Step 5: Solve for x
    x = 692,118.49/735.81
  6. Step 6: Final answer
    x = 940.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.