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Finding the Fourth Proportional to 667.50, 920.84 and 401.78

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Solution

The fourth proportional to 667.50, 920.84 and 401.78 is: 554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.50 : 920.84 = 401.78 : x
  2. Step 2: Convert to fraction form
    667.50/920.84 = 401.78/x
  3. Step 3: Cross multiply
    667.50x = 920.84 × 401.78
  4. Step 4: Simplify right side
    667.50x = 369,975.10
  5. Step 5: Solve for x
    x = 369,975.10/667.50
  6. Step 6: Final answer
    x = 554.27

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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.