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Finding the Fourth Proportional to 1,138.42, 1,704.34 and 668.47

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Solution

The fourth proportional to 1,138.42, 1,704.34 and 668.47 is: 1,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.42 : 1,704.34 = 668.47 : x
  2. Step 2: Convert to fraction form
    1,138.42/1,704.34 = 668.47/x
  3. Step 3: Cross multiply
    1,138.42x = 1,704.34 × 668.47
  4. Step 4: Simplify right side
    1,138.42x = 1,139,300.16
  5. Step 5: Solve for x
    x = 1,139,300.16/1,138.42
  6. Step 6: Final answer
    x = 1,000.77

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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.