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Finding the Fourth Proportional to 668.20, 1,002.30 and 514.40

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Solution

The fourth proportional to 668.20, 1,002.30 and 514.40 is: 771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.20 : 1,002.30 = 514.40 : x
  2. Step 2: Convert to fraction form
    668.20/1,002.30 = 514.40/x
  3. Step 3: Cross multiply
    668.20x = 1,002.30 × 514.40
  4. Step 4: Simplify right side
    668.20x = 515,583.12
  5. Step 5: Solve for x
    x = 515,583.12/668.20
  6. Step 6: Final answer
    x = 771.60

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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.