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Finding the Fourth Proportional to 668.26, 1,001.62 and 257.19

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Solution

The fourth proportional to 668.26, 1,001.62 and 257.19 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.26 : 1,001.62 = 257.19 : x
  2. Step 2: Convert to fraction form
    668.26/1,001.62 = 257.19/x
  3. Step 3: Cross multiply
    668.26x = 1,001.62 × 257.19
  4. Step 4: Simplify right side
    668.26x = 257,606.65
  5. Step 5: Solve for x
    x = 257,606.65/668.26
  6. Step 6: Final answer
    x = 385.49

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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.