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Finding the Fourth Proportional to 484.67, 727.39 and 253.63

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Solution

The fourth proportional to 484.67, 727.39 and 253.63 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.67 : 727.39 = 253.63 : x
  2. Step 2: Convert to fraction form
    484.67/727.39 = 253.63/x
  3. Step 3: Cross multiply
    484.67x = 727.39 × 253.63
  4. Step 4: Simplify right side
    484.67x = 184,487.93
  5. Step 5: Solve for x
    x = 184,487.93/484.67
  6. Step 6: Final answer
    x = 380.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.