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Finding the Fourth Proportional to 431.74, 644.47 and 399.61

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Solution

The fourth proportional to 431.74, 644.47 and 399.61 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 644.47 = 399.61 : x
  2. Step 2: Convert to fraction form
    431.74/644.47 = 399.61/x
  3. Step 3: Cross multiply
    431.74x = 644.47 × 399.61
  4. Step 4: Simplify right side
    431.74x = 257,536.66
  5. Step 5: Solve for x
    x = 257,536.66/431.74
  6. Step 6: Final answer
    x = 596.51

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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.