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Finding the Fourth Proportional to 484.12, 668.06 and 318.74

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Solution

The fourth proportional to 484.12, 668.06 and 318.74 is: 439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.12 : 668.06 = 318.74 : x
  2. Step 2: Convert to fraction form
    484.12/668.06 = 318.74/x
  3. Step 3: Cross multiply
    484.12x = 668.06 × 318.74
  4. Step 4: Simplify right side
    484.12x = 212,937.44
  5. Step 5: Solve for x
    x = 212,937.44/484.12
  6. Step 6: Final answer
    x = 439.85

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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.