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Finding the Fourth Proportional to 719.05, 992.42 and 420.33

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Solution

The fourth proportional to 719.05, 992.42 and 420.33 is: 580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.05 : 992.42 = 420.33 : x
  2. Step 2: Convert to fraction form
    719.05/992.42 = 420.33/x
  3. Step 3: Cross multiply
    719.05x = 992.42 × 420.33
  4. Step 4: Simplify right side
    719.05x = 417,143.90
  5. Step 5: Solve for x
    x = 417,143.90/719.05
  6. Step 6: Final answer
    x = 580.13

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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.