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Finding the Fourth Proportional to 667.82, 1,002.10 and 278.10

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Solution

The fourth proportional to 667.82, 1,002.10 and 278.10 is: 417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 1,002.10 = 278.10 : x
  2. Step 2: Convert to fraction form
    667.82/1,002.10 = 278.10/x
  3. Step 3: Cross multiply
    667.82x = 1,002.10 × 278.10
  4. Step 4: Simplify right side
    667.82x = 278,684.01
  5. Step 5: Solve for x
    x = 278,684.01/667.82
  6. Step 6: Final answer
    x = 417.30

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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.