Home / 1,505.25-2,257.28-580.30

Finding the Fourth Proportional to 1,505.25, 2,257.28 and 580.30

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Solution

The fourth proportional to 1,505.25, 2,257.28 and 580.30 is: 870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.25 : 2,257.28 = 580.30 : x
  2. Step 2: Convert to fraction form
    1,505.25/2,257.28 = 580.30/x
  3. Step 3: Cross multiply
    1,505.25x = 2,257.28 × 580.30
  4. Step 4: Simplify right side
    1,505.25x = 1,309,899.58
  5. Step 5: Solve for x
    x = 1,309,899.58/1,505.25
  6. Step 6: Final answer
    x = 870.22

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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.