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Finding the Fourth Proportional to 743.35, 1,112.80 and 725.67

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Solution

The fourth proportional to 743.35, 1,112.80 and 725.67 is: 1,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.35 : 1,112.80 = 725.67 : x
  2. Step 2: Convert to fraction form
    743.35/1,112.80 = 725.67/x
  3. Step 3: Cross multiply
    743.35x = 1,112.80 × 725.67
  4. Step 4: Simplify right side
    743.35x = 807,525.58
  5. Step 5: Solve for x
    x = 807,525.58/743.35
  6. Step 6: Final answer
    x = 1,086.33

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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.