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Finding the Fourth Proportional to 580.82, 801.90 and 381.86

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Solution

The fourth proportional to 580.82, 801.90 and 381.86 is: 527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.82 : 801.90 = 381.86 : x
  2. Step 2: Convert to fraction form
    580.82/801.90 = 381.86/x
  3. Step 3: Cross multiply
    580.82x = 801.90 × 381.86
  4. Step 4: Simplify right side
    580.82x = 306,213.53
  5. Step 5: Solve for x
    x = 306,213.53/580.82
  6. Step 6: Final answer
    x = 527.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.