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Finding the Fourth Proportional to 725.78, 1,000.82 and 683.93

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Solution

The fourth proportional to 725.78, 1,000.82 and 683.93 is: 943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.78 : 1,000.82 = 683.93 : x
  2. Step 2: Convert to fraction form
    725.78/1,000.82 = 683.93/x
  3. Step 3: Cross multiply
    725.78x = 1,000.82 × 683.93
  4. Step 4: Simplify right side
    725.78x = 684,495.03
  5. Step 5: Solve for x
    x = 684,495.03/725.78
  6. Step 6: Final answer
    x = 943.11

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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.