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Finding the Fourth Proportional to 401.70, 599.46 and 399.48

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Solution

The fourth proportional to 401.70, 599.46 and 399.48 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.70 : 599.46 = 399.48 : x
  2. Step 2: Convert to fraction form
    401.70/599.46 = 399.48/x
  3. Step 3: Cross multiply
    401.70x = 599.46 × 399.48
  4. Step 4: Simplify right side
    401.70x = 239,472.28
  5. Step 5: Solve for x
    x = 239,472.28/401.70
  6. Step 6: Final answer
    x = 596.15

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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.