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Finding the Fourth Proportional to 666.60, 920.48 and 418.34

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Solution

The fourth proportional to 666.60, 920.48 and 418.34 is: 577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.60 : 920.48 = 418.34 : x
  2. Step 2: Convert to fraction form
    666.60/920.48 = 418.34/x
  3. Step 3: Cross multiply
    666.60x = 920.48 × 418.34
  4. Step 4: Simplify right side
    666.60x = 385,076.95
  5. Step 5: Solve for x
    x = 385,076.95/666.60
  6. Step 6: Final answer
    x = 577.68

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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.