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Finding the Fourth Proportional to 488.19, 673.85 and 330.70

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Solution

The fourth proportional to 488.19, 673.85 and 330.70 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.19 : 673.85 = 330.70 : x
  2. Step 2: Convert to fraction form
    488.19/673.85 = 330.70/x
  3. Step 3: Cross multiply
    488.19x = 673.85 × 330.70
  4. Step 4: Simplify right side
    488.19x = 222,842.20
  5. Step 5: Solve for x
    x = 222,842.20/488.19
  6. Step 6: Final answer
    x = 456.47

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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.