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Finding the Fourth Proportional to 666.82, 920.60 and 442.77

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Solution

The fourth proportional to 666.82, 920.60 and 442.77 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.82 : 920.60 = 442.77 : x
  2. Step 2: Convert to fraction form
    666.82/920.60 = 442.77/x
  3. Step 3: Cross multiply
    666.82x = 920.60 × 442.77
  4. Step 4: Simplify right side
    666.82x = 407,614.06
  5. Step 5: Solve for x
    x = 407,614.06/666.82
  6. Step 6: Final answer
    x = 611.28

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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.