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Finding the Fourth Proportional to 400.47, 600.75 and 394.20

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Solution

The fourth proportional to 400.47, 600.75 and 394.20 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.47 : 600.75 = 394.20 : x
  2. Step 2: Convert to fraction form
    400.47/600.75 = 394.20/x
  3. Step 3: Cross multiply
    400.47x = 600.75 × 394.20
  4. Step 4: Simplify right side
    400.47x = 236,815.65
  5. Step 5: Solve for x
    x = 236,815.65/400.47
  6. Step 6: Final answer
    x = 591.34

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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.