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Finding the Fourth Proportional to 719.82, 986.99 and 649.62

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Solution

The fourth proportional to 719.82, 986.99 and 649.62 is: 890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.82 : 986.99 = 649.62 : x
  2. Step 2: Convert to fraction form
    719.82/986.99 = 649.62/x
  3. Step 3: Cross multiply
    719.82x = 986.99 × 649.62
  4. Step 4: Simplify right side
    719.82x = 641,165.20
  5. Step 5: Solve for x
    x = 641,165.20/719.82
  6. Step 6: Final answer
    x = 890.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.