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Finding the Fourth Proportional to 484.84, 668.63 and 360.81

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Solution

The fourth proportional to 484.84, 668.63 and 360.81 is: 497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 668.63 = 360.81 : x
  2. Step 2: Convert to fraction form
    484.84/668.63 = 360.81/x
  3. Step 3: Cross multiply
    484.84x = 668.63 × 360.81
  4. Step 4: Simplify right side
    484.84x = 241,245.05
  5. Step 5: Solve for x
    x = 241,245.05/484.84
  6. Step 6: Final answer
    x = 497.58

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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.