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Finding the Fourth Proportional to 1,137.42, 1,704.06 and 790.02

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Solution

The fourth proportional to 1,137.42, 1,704.06 and 790.02 is: 1,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.42 : 1,704.06 = 790.02 : x
  2. Step 2: Convert to fraction form
    1,137.42/1,704.06 = 790.02/x
  3. Step 3: Cross multiply
    1,137.42x = 1,704.06 × 790.02
  4. Step 4: Simplify right side
    1,137.42x = 1,346,241.48
  5. Step 5: Solve for x
    x = 1,346,241.48/1,137.42
  6. Step 6: Final answer
    x = 1,183.59

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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.