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Finding the Fourth Proportional to 666.43, 920.01 and 418.11

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Solution

The fourth proportional to 666.43, 920.01 and 418.11 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.43 : 920.01 = 418.11 : x
  2. Step 2: Convert to fraction form
    666.43/920.01 = 418.11/x
  3. Step 3: Cross multiply
    666.43x = 920.01 × 418.11
  4. Step 4: Simplify right side
    666.43x = 384,666.32
  5. Step 5: Solve for x
    x = 384,666.32/666.43
  6. Step 6: Final answer
    x = 577.21

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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.