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Finding the Fourth Proportional to 667.35, 1,000.08 and 522.90

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Solution

The fourth proportional to 667.35, 1,000.08 and 522.90 is: 783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.35 : 1,000.08 = 522.90 : x
  2. Step 2: Convert to fraction form
    667.35/1,000.08 = 522.90/x
  3. Step 3: Cross multiply
    667.35x = 1,000.08 × 522.90
  4. Step 4: Simplify right side
    667.35x = 522,941.83
  5. Step 5: Solve for x
    x = 522,941.83/667.35
  6. Step 6: Final answer
    x = 783.61

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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.