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Finding the Fourth Proportional to 1,155.07, 1,722.87 and 1,120.49

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Solution

The fourth proportional to 1,155.07, 1,722.87 and 1,120.49 is: 1,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.07 : 1,722.87 = 1,120.49 : x
  2. Step 2: Convert to fraction form
    1,155.07/1,722.87 = 1,120.49/x
  3. Step 3: Cross multiply
    1,155.07x = 1,722.87 × 1,120.49
  4. Step 4: Simplify right side
    1,155.07x = 1,930,458.61
  5. Step 5: Solve for x
    x = 1,930,458.61/1,155.07
  6. Step 6: Final answer
    x = 1,671.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.