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Finding the Fourth Proportional to 719.21, 992.49 and 404.50

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Solution

The fourth proportional to 719.21, 992.49 and 404.50 is: 558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.21 : 992.49 = 404.50 : x
  2. Step 2: Convert to fraction form
    719.21/992.49 = 404.50/x
  3. Step 3: Cross multiply
    719.21x = 992.49 × 404.50
  4. Step 4: Simplify right side
    719.21x = 401,462.21
  5. Step 5: Solve for x
    x = 401,462.21/719.21
  6. Step 6: Final answer
    x = 558.20

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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.