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Finding the Fourth Proportional to 614.72, 849.44 and 408

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Solution

The fourth proportional to 614.72, 849.44 and 408 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.72 : 849.44 = 408 : x
  2. Step 2: Convert to fraction form
    614.72/849.44 = 408/x
  3. Step 3: Cross multiply
    614.72x = 849.44 × 408
  4. Step 4: Simplify right side
    614.72x = 346,571.52
  5. Step 5: Solve for x
    x = 346,571.52/614.72
  6. Step 6: Final answer
    x = 563.79

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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.