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Finding the Fourth Proportional to 769.49, 1,059.73 and 720.08

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Solution

The fourth proportional to 769.49, 1,059.73 and 720.08 is: 991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.49 : 1,059.73 = 720.08 : x
  2. Step 2: Convert to fraction form
    769.49/1,059.73 = 720.08/x
  3. Step 3: Cross multiply
    769.49x = 1,059.73 × 720.08
  4. Step 4: Simplify right side
    769.49x = 763,090.38
  5. Step 5: Solve for x
    x = 763,090.38/769.49
  6. Step 6: Final answer
    x = 991.68

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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.