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Finding the Fourth Proportional to 719.26, 992.49 and 404.48

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Solution

The fourth proportional to 719.26, 992.49 and 404.48 is: 558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.26 : 992.49 = 404.48 : x
  2. Step 2: Convert to fraction form
    719.26/992.49 = 404.48/x
  3. Step 3: Cross multiply
    719.26x = 992.49 × 404.48
  4. Step 4: Simplify right side
    719.26x = 401,444.84
  5. Step 5: Solve for x
    x = 401,444.84/719.26
  6. Step 6: Final answer
    x = 558.14

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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.