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Finding the Fourth Proportional to 719.31, 992.57 and 439.41

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Solution

The fourth proportional to 719.31, 992.57 and 439.41 is: 606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.31 : 992.57 = 439.41 : x
  2. Step 2: Convert to fraction form
    719.31/992.57 = 439.41/x
  3. Step 3: Cross multiply
    719.31x = 992.57 × 439.41
  4. Step 4: Simplify right side
    719.31x = 436,145.18
  5. Step 5: Solve for x
    x = 436,145.18/719.31
  6. Step 6: Final answer
    x = 606.34

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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.