Home / 1,158.36-1,736.37-580.02

Finding the Fourth Proportional to 1,158.36, 1,736.37 and 580.02

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Solution

The fourth proportional to 1,158.36, 1,736.37 and 580.02 is: 869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.36 : 1,736.37 = 580.02 : x
  2. Step 2: Convert to fraction form
    1,158.36/1,736.37 = 580.02/x
  3. Step 3: Cross multiply
    1,158.36x = 1,736.37 × 580.02
  4. Step 4: Simplify right side
    1,158.36x = 1,007,129.33
  5. Step 5: Solve for x
    x = 1,007,129.33/1,158.36
  6. Step 6: Final answer
    x = 869.44

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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.