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Finding the Fourth Proportional to 719.31, 990.84 and 601.23

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Solution

The fourth proportional to 719.31, 990.84 and 601.23 is: 828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.31 : 990.84 = 601.23 : x
  2. Step 2: Convert to fraction form
    719.31/990.84 = 601.23/x
  3. Step 3: Cross multiply
    719.31x = 990.84 × 601.23
  4. Step 4: Simplify right side
    719.31x = 595,722.73
  5. Step 5: Solve for x
    x = 595,722.73/719.31
  6. Step 6: Final answer
    x = 828.19

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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.