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Finding the Fourth Proportional to 488.72, 674.40 and 311.84

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Solution

The fourth proportional to 488.72, 674.40 and 311.84 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.72 : 674.40 = 311.84 : x
  2. Step 2: Convert to fraction form
    488.72/674.40 = 311.84/x
  3. Step 3: Cross multiply
    488.72x = 674.40 × 311.84
  4. Step 4: Simplify right side
    488.72x = 210,304.90
  5. Step 5: Solve for x
    x = 210,304.90/488.72
  6. Step 6: Final answer
    x = 430.32

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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.