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Finding the Fourth Proportional to 431.48, 644.08 and 379.59

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Solution

The fourth proportional to 431.48, 644.08 and 379.59 is: 566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.48 : 644.08 = 379.59 : x
  2. Step 2: Convert to fraction form
    431.48/644.08 = 379.59/x
  3. Step 3: Cross multiply
    431.48x = 644.08 × 379.59
  4. Step 4: Simplify right side
    431.48x = 244,484.06
  5. Step 5: Solve for x
    x = 244,484.06/431.48
  6. Step 6: Final answer
    x = 566.62

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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.