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Finding the Fourth Proportional to 666.67, 920.59 and 418.42

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Solution

The fourth proportional to 666.67, 920.59 and 418.42 is: 577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.67 : 920.59 = 418.42 : x
  2. Step 2: Convert to fraction form
    666.67/920.59 = 418.42/x
  3. Step 3: Cross multiply
    666.67x = 920.59 × 418.42
  4. Step 4: Simplify right side
    666.67x = 385,193.27
  5. Step 5: Solve for x
    x = 385,193.27/666.67
  6. Step 6: Final answer
    x = 577.79

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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.