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Finding the Fourth Proportional to 433.91, 648.53 and 399.32

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Solution

The fourth proportional to 433.91, 648.53 and 399.32 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.91 : 648.53 = 399.32 : x
  2. Step 2: Convert to fraction form
    433.91/648.53 = 399.32/x
  3. Step 3: Cross multiply
    433.91x = 648.53 × 399.32
  4. Step 4: Simplify right side
    433.91x = 258,965.76
  5. Step 5: Solve for x
    x = 258,965.76/433.91
  6. Step 6: Final answer
    x = 596.83

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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.