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Finding the Fourth Proportional to 400.12, 596.26 and 387.07

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Solution

The fourth proportional to 400.12, 596.26 and 387.07 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 596.26 = 387.07 : x
  2. Step 2: Convert to fraction form
    400.12/596.26 = 387.07/x
  3. Step 3: Cross multiply
    400.12x = 596.26 × 387.07
  4. Step 4: Simplify right side
    400.12x = 230,794.36
  5. Step 5: Solve for x
    x = 230,794.36/400.12
  6. Step 6: Final answer
    x = 576.81

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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.