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Finding the Fourth Proportional to 431.46, 644.22 and 390.42

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Solution

The fourth proportional to 431.46, 644.22 and 390.42 is: 582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 644.22 = 390.42 : x
  2. Step 2: Convert to fraction form
    431.46/644.22 = 390.42/x
  3. Step 3: Cross multiply
    431.46x = 644.22 × 390.42
  4. Step 4: Simplify right side
    431.46x = 251,516.37
  5. Step 5: Solve for x
    x = 251,516.37/431.46
  6. Step 6: Final answer
    x = 582.94

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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.