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Finding the Fourth Proportional to 1,137.62, 1,704.45 and 698.77

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Solution

The fourth proportional to 1,137.62, 1,704.45 and 698.77 is: 1,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.62 : 1,704.45 = 698.77 : x
  2. Step 2: Convert to fraction form
    1,137.62/1,704.45 = 698.77/x
  3. Step 3: Cross multiply
    1,137.62x = 1,704.45 × 698.77
  4. Step 4: Simplify right side
    1,137.62x = 1,191,023.28
  5. Step 5: Solve for x
    x = 1,191,023.28/1,137.62
  6. Step 6: Final answer
    x = 1,046.94

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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.