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Finding the Fourth Proportional to 674.42, 1,009.79 and 668.03

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Solution

The fourth proportional to 674.42, 1,009.79 and 668.03 is: 1,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 1,009.79 = 668.03 : x
  2. Step 2: Convert to fraction form
    674.42/1,009.79 = 668.03/x
  3. Step 3: Cross multiply
    674.42x = 1,009.79 × 668.03
  4. Step 4: Simplify right side
    674.42x = 674,561.62
  5. Step 5: Solve for x
    x = 674,561.62/674.42
  6. Step 6: Final answer
    x = 1,000.22

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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.