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Finding the Fourth Proportional to 666.29, 999.44 and 319.97

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Solution

The fourth proportional to 666.29, 999.44 and 319.97 is: 479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.29 : 999.44 = 319.97 : x
  2. Step 2: Convert to fraction form
    666.29/999.44 = 319.97/x
  3. Step 3: Cross multiply
    666.29x = 999.44 × 319.97
  4. Step 4: Simplify right side
    666.29x = 319,784.22
  5. Step 5: Solve for x
    x = 319,784.22/666.29
  6. Step 6: Final answer
    x = 479.95

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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.