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Finding the Fourth Proportional to 484.87, 669.47 and 298.42

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Solution

The fourth proportional to 484.87, 669.47 and 298.42 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.87 : 669.47 = 298.42 : x
  2. Step 2: Convert to fraction form
    484.87/669.47 = 298.42/x
  3. Step 3: Cross multiply
    484.87x = 669.47 × 298.42
  4. Step 4: Simplify right side
    484.87x = 199,780.07
  5. Step 5: Solve for x
    x = 199,780.07/484.87
  6. Step 6: Final answer
    x = 412.03

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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.