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Finding the Fourth Proportional to 399.02, 594.63 and 385.97

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Solution

The fourth proportional to 399.02, 594.63 and 385.97 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.02 : 594.63 = 385.97 : x
  2. Step 2: Convert to fraction form
    399.02/594.63 = 385.97/x
  3. Step 3: Cross multiply
    399.02x = 594.63 × 385.97
  4. Step 4: Simplify right side
    399.02x = 229,506.37
  5. Step 5: Solve for x
    x = 229,506.37/399.02
  6. Step 6: Final answer
    x = 575.18

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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.