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Finding the Fourth Proportional to 1,200.48, 1,797.08 and 1,160.39

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Solution

The fourth proportional to 1,200.48, 1,797.08 and 1,160.39 is: 1,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.48 : 1,797.08 = 1,160.39 : x
  2. Step 2: Convert to fraction form
    1,200.48/1,797.08 = 1,160.39/x
  3. Step 3: Cross multiply
    1,200.48x = 1,797.08 × 1,160.39
  4. Step 4: Simplify right side
    1,200.48x = 2,085,298.87
  5. Step 5: Solve for x
    x = 2,085,298.87/1,200.48
  6. Step 6: Final answer
    x = 1,737.05

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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.