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Finding the Fourth Proportional to 666.20, 1,000.20 and 423.80

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Solution

The fourth proportional to 666.20, 1,000.20 and 423.80 is: 636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.20 : 1,000.20 = 423.80 : x
  2. Step 2: Convert to fraction form
    666.20/1,000.20 = 423.80/x
  3. Step 3: Cross multiply
    666.20x = 1,000.20 × 423.80
  4. Step 4: Simplify right side
    666.20x = 423,884.76
  5. Step 5: Solve for x
    x = 423,884.76/666.20
  6. Step 6: Final answer
    x = 636.27

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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.