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Finding the Fourth Proportional to 436.90, 599.63 and 399.82

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Solution

The fourth proportional to 436.90, 599.63 and 399.82 is: 548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.90 : 599.63 = 399.82 : x
  2. Step 2: Convert to fraction form
    436.90/599.63 = 399.82/x
  3. Step 3: Cross multiply
    436.90x = 599.63 × 399.82
  4. Step 4: Simplify right side
    436.90x = 239,744.07
  5. Step 5: Solve for x
    x = 239,744.07/436.90
  6. Step 6: Final answer
    x = 548.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.