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Finding the Fourth Proportional to 668.13, 1,002.05 and 257.12

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Solution

The fourth proportional to 668.13, 1,002.05 and 257.12 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.13 : 1,002.05 = 257.12 : x
  2. Step 2: Convert to fraction form
    668.13/1,002.05 = 257.12/x
  3. Step 3: Cross multiply
    668.13x = 1,002.05 × 257.12
  4. Step 4: Simplify right side
    668.13x = 257,647.10
  5. Step 5: Solve for x
    x = 257,647.10/668.13
  6. Step 6: Final answer
    x = 385.63

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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.