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Finding the Fourth Proportional to 404.91, 608.00 and 393.98

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Solution

The fourth proportional to 404.91, 608.00 and 393.98 is: 591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.91 : 608.00 = 393.98 : x
  2. Step 2: Convert to fraction form
    404.91/608.00 = 393.98/x
  3. Step 3: Cross multiply
    404.91x = 608.00 × 393.98
  4. Step 4: Simplify right side
    404.91x = 239,534.83
  5. Step 5: Solve for x
    x = 239,534.83/404.91
  6. Step 6: Final answer
    x = 591.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.