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Finding the Fourth Proportional to 669.34, 1,003.32 and 258.34

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Solution

The fourth proportional to 669.34, 1,003.32 and 258.34 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.34 : 1,003.32 = 258.34 : x
  2. Step 2: Convert to fraction form
    669.34/1,003.32 = 258.34/x
  3. Step 3: Cross multiply
    669.34x = 1,003.32 × 258.34
  4. Step 4: Simplify right side
    669.34x = 259,197.69
  5. Step 5: Solve for x
    x = 259,197.69/669.34
  6. Step 6: Final answer
    x = 387.24

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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.