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Finding the Fourth Proportional to 667.35, 999.18 and 585.33

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Solution

The fourth proportional to 667.35, 999.18 and 585.33 is: 876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.35 : 999.18 = 585.33 : x
  2. Step 2: Convert to fraction form
    667.35/999.18 = 585.33/x
  3. Step 3: Cross multiply
    667.35x = 999.18 × 585.33
  4. Step 4: Simplify right side
    667.35x = 584,850.03
  5. Step 5: Solve for x
    x = 584,850.03/667.35
  6. Step 6: Final answer
    x = 876.38

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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.