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Finding the Fourth Proportional to 399.64, 594.75 and 385.06

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Solution

The fourth proportional to 399.64, 594.75 and 385.06 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.64 : 594.75 = 385.06 : x
  2. Step 2: Convert to fraction form
    399.64/594.75 = 385.06/x
  3. Step 3: Cross multiply
    399.64x = 594.75 × 385.06
  4. Step 4: Simplify right side
    399.64x = 229,012.95
  5. Step 5: Solve for x
    x = 229,012.95/399.64
  6. Step 6: Final answer
    x = 573.05

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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.