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Finding the Fourth Proportional to 719.38, 992.49 and 470.84

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Solution

The fourth proportional to 719.38, 992.49 and 470.84 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.38 : 992.49 = 470.84 : x
  2. Step 2: Convert to fraction form
    719.38/992.49 = 470.84/x
  3. Step 3: Cross multiply
    719.38x = 992.49 × 470.84
  4. Step 4: Simplify right side
    719.38x = 467,304.71
  5. Step 5: Solve for x
    x = 467,304.71/719.38
  6. Step 6: Final answer
    x = 649.59

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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.