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Finding the Fourth Proportional to 488.86, 674.28 and 364.54

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Solution

The fourth proportional to 488.86, 674.28 and 364.54 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.86 : 674.28 = 364.54 : x
  2. Step 2: Convert to fraction form
    488.86/674.28 = 364.54/x
  3. Step 3: Cross multiply
    488.86x = 674.28 × 364.54
  4. Step 4: Simplify right side
    488.86x = 245,802.03
  5. Step 5: Solve for x
    x = 245,802.03/488.86
  6. Step 6: Final answer
    x = 502.81

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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.