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Finding the Fourth Proportional to 668.29, 1,003.75 and 405.27

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Solution

The fourth proportional to 668.29, 1,003.75 and 405.27 is: 608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.29 : 1,003.75 = 405.27 : x
  2. Step 2: Convert to fraction form
    668.29/1,003.75 = 405.27/x
  3. Step 3: Cross multiply
    668.29x = 1,003.75 × 405.27
  4. Step 4: Simplify right side
    668.29x = 406,789.76
  5. Step 5: Solve for x
    x = 406,789.76/668.29
  6. Step 6: Final answer
    x = 608.70

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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.