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Finding the Fourth Proportional to 431.80, 644.54 and 395.27

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Solution

The fourth proportional to 431.80, 644.54 and 395.27 is: 590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.80 : 644.54 = 395.27 : x
  2. Step 2: Convert to fraction form
    431.80/644.54 = 395.27/x
  3. Step 3: Cross multiply
    431.80x = 644.54 × 395.27
  4. Step 4: Simplify right side
    431.80x = 254,766.96
  5. Step 5: Solve for x
    x = 254,766.96/431.80
  6. Step 6: Final answer
    x = 590.01

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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.