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Finding the Fourth Proportional to 488.96, 674.56 and 292.48

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Solution

The fourth proportional to 488.96, 674.56 and 292.48 is: 403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 674.56 = 292.48 : x
  2. Step 2: Convert to fraction form
    488.96/674.56 = 292.48/x
  3. Step 3: Cross multiply
    488.96x = 674.56 × 292.48
  4. Step 4: Simplify right side
    488.96x = 197,295.31
  5. Step 5: Solve for x
    x = 197,295.31/488.96
  6. Step 6: Final answer
    x = 403.50

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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.