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Finding the Fourth Proportional to 719.24, 992.16 and 439.61

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Solution

The fourth proportional to 719.24, 992.16 and 439.61 is: 606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.24 : 992.16 = 439.61 : x
  2. Step 2: Convert to fraction form
    719.24/992.16 = 439.61/x
  3. Step 3: Cross multiply
    719.24x = 992.16 × 439.61
  4. Step 4: Simplify right side
    719.24x = 436,158.50
  5. Step 5: Solve for x
    x = 436,158.50/719.24
  6. Step 6: Final answer
    x = 606.42

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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.