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Finding the Fourth Proportional to 719.34, 992.64 and 439.62

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Solution

The fourth proportional to 719.34, 992.64 and 439.62 is: 606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 992.64 = 439.62 : x
  2. Step 2: Convert to fraction form
    719.34/992.64 = 439.62/x
  3. Step 3: Cross multiply
    719.34x = 992.64 × 439.62
  4. Step 4: Simplify right side
    719.34x = 436,384.40
  5. Step 5: Solve for x
    x = 436,384.40/719.34
  6. Step 6: Final answer
    x = 606.65

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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.