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Finding the Fourth Proportional to 668.22, 1,006.31 and 606.78

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Solution

The fourth proportional to 668.22, 1,006.31 and 606.78 is: 913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.22 : 1,006.31 = 606.78 : x
  2. Step 2: Convert to fraction form
    668.22/1,006.31 = 606.78/x
  3. Step 3: Cross multiply
    668.22x = 1,006.31 × 606.78
  4. Step 4: Simplify right side
    668.22x = 610,605.75
  5. Step 5: Solve for x
    x = 610,605.75/668.22
  6. Step 6: Final answer
    x = 913.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.