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Finding the Fourth Proportional to 666.63, 919.45 and 442.17

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Solution

The fourth proportional to 666.63, 919.45 and 442.17 is: 609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.63 : 919.45 = 442.17 : x
  2. Step 2: Convert to fraction form
    666.63/919.45 = 442.17/x
  3. Step 3: Cross multiply
    666.63x = 919.45 × 442.17
  4. Step 4: Simplify right side
    666.63x = 406,553.21
  5. Step 5: Solve for x
    x = 406,553.21/666.63
  6. Step 6: Final answer
    x = 609.86

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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.