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Finding the Fourth Proportional to 488.15, 730.92 and 381.55

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Solution

The fourth proportional to 488.15, 730.92 and 381.55 is: 571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.15 : 730.92 = 381.55 : x
  2. Step 2: Convert to fraction form
    488.15/730.92 = 381.55/x
  3. Step 3: Cross multiply
    488.15x = 730.92 × 381.55
  4. Step 4: Simplify right side
    488.15x = 278,880.06
  5. Step 5: Solve for x
    x = 278,880.06/488.15
  6. Step 6: Final answer
    x = 571.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.