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Finding the Fourth Proportional to 667.85, 921.60 and 369.11

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Solution

The fourth proportional to 667.85, 921.60 and 369.11 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.85 : 921.60 = 369.11 : x
  2. Step 2: Convert to fraction form
    667.85/921.60 = 369.11/x
  3. Step 3: Cross multiply
    667.85x = 921.60 × 369.11
  4. Step 4: Simplify right side
    667.85x = 340,167.17
  5. Step 5: Solve for x
    x = 340,167.17/667.85
  6. Step 6: Final answer
    x = 509.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.