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Finding the Fourth Proportional to 1,353.66, 2,028.93 and 737.66

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Solution

The fourth proportional to 1,353.66, 2,028.93 and 737.66 is: 1,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.66 : 2,028.93 = 737.66 : x
  2. Step 2: Convert to fraction form
    1,353.66/2,028.93 = 737.66/x
  3. Step 3: Cross multiply
    1,353.66x = 2,028.93 × 737.66
  4. Step 4: Simplify right side
    1,353.66x = 1,496,650.36
  5. Step 5: Solve for x
    x = 1,496,650.36/1,353.66
  6. Step 6: Final answer
    x = 1,105.63

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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.