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Finding the Fourth Proportional to 668, 1,002.48 and 379.36

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Solution

The fourth proportional to 668, 1,002.48 and 379.36 is: 569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668 : 1,002.48 = 379.36 : x
  2. Step 2: Convert to fraction form
    668/1,002.48 = 379.36/x
  3. Step 3: Cross multiply
    668x = 1,002.48 × 379.36
  4. Step 4: Simplify right side
    668x = 380,300.81
  5. Step 5: Solve for x
    x = 380,300.81/668
  6. Step 6: Final answer
    x = 569.31

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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.