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Finding the Fourth Proportional to 714.80, 1,074.15 and 668.09

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Solution

The fourth proportional to 714.80, 1,074.15 and 668.09 is: 1,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 1,074.15 = 668.09 : x
  2. Step 2: Convert to fraction form
    714.80/1,074.15 = 668.09/x
  3. Step 3: Cross multiply
    714.80x = 1,074.15 × 668.09
  4. Step 4: Simplify right side
    714.80x = 717,628.87
  5. Step 5: Solve for x
    x = 717,628.87/714.80
  6. Step 6: Final answer
    x = 1,003.96

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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.