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Finding the Fourth Proportional to 431.96, 644.80 and 399.84

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Solution

The fourth proportional to 431.96, 644.80 and 399.84 is: 596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 644.80 = 399.84 : x
  2. Step 2: Convert to fraction form
    431.96/644.80 = 399.84/x
  3. Step 3: Cross multiply
    431.96x = 644.80 × 399.84
  4. Step 4: Simplify right side
    431.96x = 257,814.16
  5. Step 5: Solve for x
    x = 257,814.16/431.96
  6. Step 6: Final answer
    x = 596.85

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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.