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Finding the Fourth Proportional to 666.54, 1,000.22 and 255.72

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Solution

The fourth proportional to 666.54, 1,000.22 and 255.72 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.54 : 1,000.22 = 255.72 : x
  2. Step 2: Convert to fraction form
    666.54/1,000.22 = 255.72/x
  3. Step 3: Cross multiply
    666.54x = 1,000.22 × 255.72
  4. Step 4: Simplify right side
    666.54x = 255,778.73
  5. Step 5: Solve for x
    x = 255,778.73/666.54
  6. Step 6: Final answer
    x = 383.74

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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.