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Finding the Fourth Proportional to 668.86, 922.93 and 416.68

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Solution

The fourth proportional to 668.86, 922.93 and 416.68 is: 574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.86 : 922.93 = 416.68 : x
  2. Step 2: Convert to fraction form
    668.86/922.93 = 416.68/x
  3. Step 3: Cross multiply
    668.86x = 922.93 × 416.68
  4. Step 4: Simplify right side
    668.86x = 384,563.12
  5. Step 5: Solve for x
    x = 384,563.12/668.86
  6. Step 6: Final answer
    x = 574.96

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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.