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Finding the Fourth Proportional to 719.29, 992.22 and 471.01

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Solution

The fourth proportional to 719.29, 992.22 and 471.01 is: 649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.29 : 992.22 = 471.01 : x
  2. Step 2: Convert to fraction form
    719.29/992.22 = 471.01/x
  3. Step 3: Cross multiply
    719.29x = 992.22 × 471.01
  4. Step 4: Simplify right side
    719.29x = 467,345.54
  5. Step 5: Solve for x
    x = 467,345.54/719.29
  6. Step 6: Final answer
    x = 649.73

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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.