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Finding the Fourth Proportional to 488.76, 674.20 and 313.80

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Solution

The fourth proportional to 488.76, 674.20 and 313.80 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.76 : 674.20 = 313.80 : x
  2. Step 2: Convert to fraction form
    488.76/674.20 = 313.80/x
  3. Step 3: Cross multiply
    488.76x = 674.20 × 313.80
  4. Step 4: Simplify right side
    488.76x = 211,563.96
  5. Step 5: Solve for x
    x = 211,563.96/488.76
  6. Step 6: Final answer
    x = 432.86

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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.