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Finding the Fourth Proportional to 668.91, 1,003.37 and 258.18

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Solution

The fourth proportional to 668.91, 1,003.37 and 258.18 is: 387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.91 : 1,003.37 = 258.18 : x
  2. Step 2: Convert to fraction form
    668.91/1,003.37 = 258.18/x
  3. Step 3: Cross multiply
    668.91x = 1,003.37 × 258.18
  4. Step 4: Simplify right side
    668.91x = 259,050.07
  5. Step 5: Solve for x
    x = 259,050.07/668.91
  6. Step 6: Final answer
    x = 387.27

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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.