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Finding the Fourth Proportional to 400.97, 596.66 and 399.60

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Solution

The fourth proportional to 400.97, 596.66 and 399.60 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.97 : 596.66 = 399.60 : x
  2. Step 2: Convert to fraction form
    400.97/596.66 = 399.60/x
  3. Step 3: Cross multiply
    400.97x = 596.66 × 399.60
  4. Step 4: Simplify right side
    400.97x = 238,423.34
  5. Step 5: Solve for x
    x = 238,423.34/400.97
  6. Step 6: Final answer
    x = 594.62

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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.