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Finding the Fourth Proportional to 399.58, 596.90 and 397.68

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Solution

The fourth proportional to 399.58, 596.90 and 397.68 is: 594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.58 : 596.90 = 397.68 : x
  2. Step 2: Convert to fraction form
    399.58/596.90 = 397.68/x
  3. Step 3: Cross multiply
    399.58x = 596.90 × 397.68
  4. Step 4: Simplify right side
    399.58x = 237,375.19
  5. Step 5: Solve for x
    x = 237,375.19/399.58
  6. Step 6: Final answer
    x = 594.06

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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.