Home / 1,190.36-1,782.28-861.60

Finding the Fourth Proportional to 1,190.36, 1,782.28 and 861.60

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Solution

The fourth proportional to 1,190.36, 1,782.28 and 861.60 is: 1,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.36 : 1,782.28 = 861.60 : x
  2. Step 2: Convert to fraction form
    1,190.36/1,782.28 = 861.60/x
  3. Step 3: Cross multiply
    1,190.36x = 1,782.28 × 861.60
  4. Step 4: Simplify right side
    1,190.36x = 1,535,612.45
  5. Step 5: Solve for x
    x = 1,535,612.45/1,190.36
  6. Step 6: Final answer
    x = 1,290.04

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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.