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Finding the Fourth Proportional to 667, 920.46 and 405.10

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Solution

The fourth proportional to 667, 920.46 and 405.10 is: 559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    667 : 920.46 = 405.10 : x
  2. Step 2: Convert to fraction form
    667/920.46 = 405.10/x
  3. Step 3: Cross multiply
    667x = 920.46 × 405.10
  4. Step 4: Simplify right side
    667x = 372,878.35
  5. Step 5: Solve for x
    x = 372,878.35/667
  6. Step 6: Final answer
    x = 559.04

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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.