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Finding the Fourth Proportional to 719.06, 992.39 and 439.47

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Solution

The fourth proportional to 719.06, 992.39 and 439.47 is: 606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.06 : 992.39 = 439.47 : x
  2. Step 2: Convert to fraction form
    719.06/992.39 = 439.47/x
  3. Step 3: Cross multiply
    719.06x = 992.39 × 439.47
  4. Step 4: Simplify right side
    719.06x = 436,123.44
  5. Step 5: Solve for x
    x = 436,123.44/719.06
  6. Step 6: Final answer
    x = 606.52

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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.