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Finding the Fourth Proportional to 668.63, 1,002.96 and 236.09

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Solution

The fourth proportional to 668.63, 1,002.96 and 236.09 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.63 : 1,002.96 = 236.09 : x
  2. Step 2: Convert to fraction form
    668.63/1,002.96 = 236.09/x
  3. Step 3: Cross multiply
    668.63x = 1,002.96 × 236.09
  4. Step 4: Simplify right side
    668.63x = 236,783.81
  5. Step 5: Solve for x
    x = 236,783.81/668.63
  6. Step 6: Final answer
    x = 354.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.