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Finding the Fourth Proportional to 666.58, 1,000.08 and 204.45

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Solution

The fourth proportional to 666.58, 1,000.08 and 204.45 is: 306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.58 : 1,000.08 = 204.45 : x
  2. Step 2: Convert to fraction form
    666.58/1,000.08 = 204.45/x
  3. Step 3: Cross multiply
    666.58x = 1,000.08 × 204.45
  4. Step 4: Simplify right side
    666.58x = 204,466.36
  5. Step 5: Solve for x
    x = 204,466.36/666.58
  6. Step 6: Final answer
    x = 306.74

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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.