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Finding the Fourth Proportional to 488.57, 733.46 and 306.32

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Solution

The fourth proportional to 488.57, 733.46 and 306.32 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.57 : 733.46 = 306.32 : x
  2. Step 2: Convert to fraction form
    488.57/733.46 = 306.32/x
  3. Step 3: Cross multiply
    488.57x = 733.46 × 306.32
  4. Step 4: Simplify right side
    488.57x = 224,668.27
  5. Step 5: Solve for x
    x = 224,668.27/488.57
  6. Step 6: Final answer
    x = 459.85

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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.