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Finding the Fourth Proportional to 1,737.62, 2,605.02 and 1,190.87

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Solution

The fourth proportional to 1,737.62, 2,605.02 and 1,190.87 is: 1,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.62 : 2,605.02 = 1,190.87 : x
  2. Step 2: Convert to fraction form
    1,737.62/2,605.02 = 1,190.87/x
  3. Step 3: Cross multiply
    1,737.62x = 2,605.02 × 1,190.87
  4. Step 4: Simplify right side
    1,737.62x = 3,102,240.17
  5. Step 5: Solve for x
    x = 3,102,240.17/1,737.62
  6. Step 6: Final answer
    x = 1,785.34

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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.