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Finding the Fourth Proportional to 488.85, 674.54 and 311.50

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Solution

The fourth proportional to 488.85, 674.54 and 311.50 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.85 : 674.54 = 311.50 : x
  2. Step 2: Convert to fraction form
    488.85/674.54 = 311.50/x
  3. Step 3: Cross multiply
    488.85x = 674.54 × 311.50
  4. Step 4: Simplify right side
    488.85x = 210,120.93
  5. Step 5: Solve for x
    x = 210,120.93/488.85
  6. Step 6: Final answer
    x = 429.82

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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.