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Finding the Fourth Proportional to 408.65, 608.72 and 393.93

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Solution

The fourth proportional to 408.65, 608.72 and 393.93 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 608.72 = 393.93 : x
  2. Step 2: Convert to fraction form
    408.65/608.72 = 393.93/x
  3. Step 3: Cross multiply
    408.65x = 608.72 × 393.93
  4. Step 4: Simplify right side
    408.65x = 239,791.10
  5. Step 5: Solve for x
    x = 239,791.10/408.65
  6. Step 6: Final answer
    x = 586.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.