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Finding the Fourth Proportional to 667.80, 1,000.62 and 523.08

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Solution

The fourth proportional to 667.80, 1,000.62 and 523.08 is: 783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.80 : 1,000.62 = 523.08 : x
  2. Step 2: Convert to fraction form
    667.80/1,000.62 = 523.08/x
  3. Step 3: Cross multiply
    667.80x = 1,000.62 × 523.08
  4. Step 4: Simplify right side
    667.80x = 523,404.31
  5. Step 5: Solve for x
    x = 523,404.31/667.80
  6. Step 6: Final answer
    x = 783.77

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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.