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Finding the Fourth Proportional to 488.62, 674.74 and 314.26

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Solution

The fourth proportional to 488.62, 674.74 and 314.26 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.62 : 674.74 = 314.26 : x
  2. Step 2: Convert to fraction form
    488.62/674.74 = 314.26/x
  3. Step 3: Cross multiply
    488.62x = 674.74 × 314.26
  4. Step 4: Simplify right side
    488.62x = 212,043.79
  5. Step 5: Solve for x
    x = 212,043.79/488.62
  6. Step 6: Final answer
    x = 433.97

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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.