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Finding the Fourth Proportional to 484.30, 727.13 and 319.80

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Solution

The fourth proportional to 484.30, 727.13 and 319.80 is: 480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.30 : 727.13 = 319.80 : x
  2. Step 2: Convert to fraction form
    484.30/727.13 = 319.80/x
  3. Step 3: Cross multiply
    484.30x = 727.13 × 319.80
  4. Step 4: Simplify right side
    484.30x = 232,536.17
  5. Step 5: Solve for x
    x = 232,536.17/484.30
  6. Step 6: Final answer
    x = 480.15

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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.