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Finding the Fourth Proportional to 719.79, 990.23 and 635.34

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Solution

The fourth proportional to 719.79, 990.23 and 635.34 is: 874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.79 : 990.23 = 635.34 : x
  2. Step 2: Convert to fraction form
    719.79/990.23 = 635.34/x
  3. Step 3: Cross multiply
    719.79x = 990.23 × 635.34
  4. Step 4: Simplify right side
    719.79x = 629,133.26
  5. Step 5: Solve for x
    x = 629,133.26/719.79
  6. Step 6: Final answer
    x = 874.06

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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.