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Finding the Fourth Proportional to 719.44, 992.78 and 404.72

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Solution

The fourth proportional to 719.44, 992.78 and 404.72 is: 558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.44 : 992.78 = 404.72 : x
  2. Step 2: Convert to fraction form
    719.44/992.78 = 404.72/x
  3. Step 3: Cross multiply
    719.44x = 992.78 × 404.72
  4. Step 4: Simplify right side
    719.44x = 401,797.92
  5. Step 5: Solve for x
    x = 401,797.92/719.44
  6. Step 6: Final answer
    x = 558.49

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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.