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Finding the Fourth Proportional to 719.28, 992.79 and 471.29

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Solution

The fourth proportional to 719.28, 992.79 and 471.29 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.28 : 992.79 = 471.29 : x
  2. Step 2: Convert to fraction form
    719.28/992.79 = 471.29/x
  3. Step 3: Cross multiply
    719.28x = 992.79 × 471.29
  4. Step 4: Simplify right side
    719.28x = 467,887.04
  5. Step 5: Solve for x
    x = 467,887.04/719.28
  6. Step 6: Final answer
    x = 650.49

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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.