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Finding the Fourth Proportional to 488.96, 674.24 and 320.48

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Solution

The fourth proportional to 488.96, 674.24 and 320.48 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 674.24 = 320.48 : x
  2. Step 2: Convert to fraction form
    488.96/674.24 = 320.48/x
  3. Step 3: Cross multiply
    488.96x = 674.24 × 320.48
  4. Step 4: Simplify right side
    488.96x = 216,080.52
  5. Step 5: Solve for x
    x = 216,080.52/488.96
  6. Step 6: Final answer
    x = 441.92

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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.