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Finding the Fourth Proportional to 488.97, 678.44 and 484.79

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Solution

The fourth proportional to 488.97, 678.44 and 484.79 is: 672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.97 : 678.44 = 484.79 : x
  2. Step 2: Convert to fraction form
    488.97/678.44 = 484.79/x
  3. Step 3: Cross multiply
    488.97x = 678.44 × 484.79
  4. Step 4: Simplify right side
    488.97x = 328,898.75
  5. Step 5: Solve for x
    x = 328,898.75/488.97
  6. Step 6: Final answer
    x = 672.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.