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Finding the Fourth Proportional to 436.50, 599.07 and 394.98

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Solution

The fourth proportional to 436.50, 599.07 and 394.98 is: 542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.50 : 599.07 = 394.98 : x
  2. Step 2: Convert to fraction form
    436.50/599.07 = 394.98/x
  3. Step 3: Cross multiply
    436.50x = 599.07 × 394.98
  4. Step 4: Simplify right side
    436.50x = 236,620.67
  5. Step 5: Solve for x
    x = 236,620.67/436.50
  6. Step 6: Final answer
    x = 542.09

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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.