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Finding the Fourth Proportional to 669.01, 1,002.75 and 257.94

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Solution

The fourth proportional to 669.01, 1,002.75 and 257.94 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.01 : 1,002.75 = 257.94 : x
  2. Step 2: Convert to fraction form
    669.01/1,002.75 = 257.94/x
  3. Step 3: Cross multiply
    669.01x = 1,002.75 × 257.94
  4. Step 4: Simplify right side
    669.01x = 258,648.05
  5. Step 5: Solve for x
    x = 258,648.05/669.01
  6. Step 6: Final answer
    x = 386.61

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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.