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Finding the Fourth Proportional to 719.46, 992.72 and 439.77

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Solution

The fourth proportional to 719.46, 992.72 and 439.77 is: 606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.46 : 992.72 = 439.77 : x
  2. Step 2: Convert to fraction form
    719.46/992.72 = 439.77/x
  3. Step 3: Cross multiply
    719.46x = 992.72 × 439.77
  4. Step 4: Simplify right side
    719.46x = 436,568.47
  5. Step 5: Solve for x
    x = 436,568.47/719.46
  6. Step 6: Final answer
    x = 606.80

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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.